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Simplifying 4 + 1(3 + 4x) + 3 + 1(3 + 9) = 4x + 8(3x + 2) + -1(4 + 3x) + -2 4 + (3 * 1 + 4x * 1) + 3 + 1(3 + 9) = 4x + 8(3x + 2) + -1(4 + 3x) + -2 4 + (3 + 4x) + 3 + 1(3 + 9) = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Combine like terms: 3 + 9 = 12 4 + 3 + 4x + 3 + 1(12) = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Multiply 1 * 12 4 + 3 + 4x + 3 + 12 = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Reorder the terms: 4 + 3 + 3 + 12 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Combine like terms: 4 + 3 = 7 7 + 3 + 12 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Combine like terms: 7 + 3 = 10 10 + 12 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Combine like terms: 10 + 12 = 22 22 + 4x = 4x + 8(3x + 2) + -1(4 + 3x) + -2 Reorder the terms: 22 + 4x = 4x + 8(2 + 3x) + -1(4 + 3x) + -2 22 + 4x = 4x + (2 * 8 + 3x * 8) + -1(4 + 3x) + -2 22 + 4x = 4x + (16 + 24x) + -1(4 + 3x) + -2 22 + 4x = 4x + 16 + 24x + (4 * -1 + 3x * -1) + -2 22 + 4x = 4x + 16 + 24x + (-4 + -3x) + -2 Reorder the terms: 22 + 4x = 16 + -4 + -2 + 4x + 24x + -3x Combine like terms: 16 + -4 = 12 22 + 4x = 12 + -2 + 4x + 24x + -3x Combine like terms: 12 + -2 = 10 22 + 4x = 10 + 4x + 24x + -3x Combine like terms: 4x + 24x = 28x 22 + 4x = 10 + 28x + -3x Combine like terms: 28x + -3x = 25x 22 + 4x = 10 + 25x Solving 22 + 4x = 10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 22 + 4x + -25x = 10 + 25x + -25x Combine like terms: 4x + -25x = -21x 22 + -21x = 10 + 25x + -25x Combine like terms: 25x + -25x = 0 22 + -21x = 10 + 0 22 + -21x = 10 Add '-22' to each side of the equation. 22 + -22 + -21x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -21x = 10 + -22 -21x = 10 + -22 Combine like terms: 10 + -22 = -12 -21x = -12 Divide each side by '-21'. x = 0.5714285714 Simplifying x = 0.5714285714
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