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Simplifying -4x + 2(5x + 6) = -3x + 39 Reorder the terms: -4x + 2(6 + 5x) = -3x + 39 -4x + (6 * 2 + 5x * 2) = -3x + 39 -4x + (12 + 10x) = -3x + 39 Reorder the terms: 12 + -4x + 10x = -3x + 39 Combine like terms: -4x + 10x = 6x 12 + 6x = -3x + 39 Reorder the terms: 12 + 6x = 39 + -3x Solving 12 + 6x = 39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 6x + 3x = 39 + -3x + 3x Combine like terms: 6x + 3x = 9x 12 + 9x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 9x = 39 + 0 12 + 9x = 39 Add '-12' to each side of the equation. 12 + -12 + 9x = 39 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 39 + -12 9x = 39 + -12 Combine like terms: 39 + -12 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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