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Simplifying 5x + -3(4x + 1) = 3 + 4(3x + 8) Reorder the terms: 5x + -3(1 + 4x) = 3 + 4(3x + 8) 5x + (1 * -3 + 4x * -3) = 3 + 4(3x + 8) 5x + (-3 + -12x) = 3 + 4(3x + 8) Reorder the terms: -3 + 5x + -12x = 3 + 4(3x + 8) Combine like terms: 5x + -12x = -7x -3 + -7x = 3 + 4(3x + 8) Reorder the terms: -3 + -7x = 3 + 4(8 + 3x) -3 + -7x = 3 + (8 * 4 + 3x * 4) -3 + -7x = 3 + (32 + 12x) Combine like terms: 3 + 32 = 35 -3 + -7x = 35 + 12x Solving -3 + -7x = 35 + 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. -3 + -7x + -12x = 35 + 12x + -12x Combine like terms: -7x + -12x = -19x -3 + -19x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -19x = 35 + 0 -3 + -19x = 35 Add '3' to each side of the equation. -3 + 3 + -19x = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -19x = 35 + 3 -19x = 35 + 3 Combine like terms: 35 + 3 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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