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Simplifying 6(6 + -1x) + 3 = -3(x + -4) + -6 (6 * 6 + -1x * 6) + 3 = -3(x + -4) + -6 (36 + -6x) + 3 = -3(x + -4) + -6 Reorder the terms: 36 + 3 + -6x = -3(x + -4) + -6 Combine like terms: 36 + 3 = 39 39 + -6x = -3(x + -4) + -6 Reorder the terms: 39 + -6x = -3(-4 + x) + -6 39 + -6x = (-4 * -3 + x * -3) + -6 39 + -6x = (12 + -3x) + -6 Reorder the terms: 39 + -6x = 12 + -6 + -3x Combine like terms: 12 + -6 = 6 39 + -6x = 6 + -3x Solving 39 + -6x = 6 + -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. 39 + -6x + 3x = 6 + -3x + 3x Combine like terms: -6x + 3x = -3x 39 + -3x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 39 + -3x = 6 + 0 39 + -3x = 6 Add '-39' to each side of the equation. 39 + -39 + -3x = 6 + -39 Combine like terms: 39 + -39 = 0 0 + -3x = 6 + -39 -3x = 6 + -39 Combine like terms: 6 + -39 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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