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Simplifying 5x + 4(3 + -2x) = 4x + -1(3 + -2) 5x + (3 * 4 + -2x * 4) = 4x + -1(3 + -2) 5x + (12 + -8x) = 4x + -1(3 + -2) Reorder the terms: 12 + 5x + -8x = 4x + -1(3 + -2) Combine like terms: 5x + -8x = -3x 12 + -3x = 4x + -1(3 + -2) Combine like terms: 3 + -2 = 1 12 + -3x = 4x + -1(1) Multiply -1 * 1 12 + -3x = 4x + -1 Reorder the terms: 12 + -3x = -1 + 4x Solving 12 + -3x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -3x + -4x = -1 + 4x + -4x Combine like terms: -3x + -4x = -7x 12 + -7x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -7x = -1 + 0 12 + -7x = -1 Add '-12' to each side of the equation. 12 + -12 + -7x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -1 + -12 -7x = -1 + -12 Combine like terms: -1 + -12 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857
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