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Simplifying 3(2x + -1) + 4(x + 3) = 5(2 + -1) + 4(3x + -1) Reorder the terms: 3(-1 + 2x) + 4(x + 3) = 5(2 + -1) + 4(3x + -1) (-1 * 3 + 2x * 3) + 4(x + 3) = 5(2 + -1) + 4(3x + -1) (-3 + 6x) + 4(x + 3) = 5(2 + -1) + 4(3x + -1) Reorder the terms: -3 + 6x + 4(3 + x) = 5(2 + -1) + 4(3x + -1) -3 + 6x + (3 * 4 + x * 4) = 5(2 + -1) + 4(3x + -1) -3 + 6x + (12 + 4x) = 5(2 + -1) + 4(3x + -1) Reorder the terms: -3 + 12 + 6x + 4x = 5(2 + -1) + 4(3x + -1) Combine like terms: -3 + 12 = 9 9 + 6x + 4x = 5(2 + -1) + 4(3x + -1) Combine like terms: 6x + 4x = 10x 9 + 10x = 5(2 + -1) + 4(3x + -1) Combine like terms: 2 + -1 = 1 9 + 10x = 5(1) + 4(3x + -1) Multiply 5 * 1 9 + 10x = 5 + 4(3x + -1) Reorder the terms: 9 + 10x = 5 + 4(-1 + 3x) 9 + 10x = 5 + (-1 * 4 + 3x * 4) 9 + 10x = 5 + (-4 + 12x) Combine like terms: 5 + -4 = 1 9 + 10x = 1 + 12x Solving 9 + 10x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 10x + -12x = 1 + 12x + -12x Combine like terms: 10x + -12x = -2x 9 + -2x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -2x = 1 + 0 9 + -2x = 1 Add '-9' to each side of the equation. 9 + -9 + -2x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 1 + -9 -2x = 1 + -9 Combine like terms: 1 + -9 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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