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Simplifying 6 + -5(x + -6) + 3 = 3 + -1(x + -4) + -2x + 26 Reorder the terms: 6 + -5(-6 + x) + 3 = 3 + -1(x + -4) + -2x + 26 6 + (-6 * -5 + x * -5) + 3 = 3 + -1(x + -4) + -2x + 26 6 + (30 + -5x) + 3 = 3 + -1(x + -4) + -2x + 26 Reorder the terms: 6 + 30 + 3 + -5x = 3 + -1(x + -4) + -2x + 26 Combine like terms: 6 + 30 = 36 36 + 3 + -5x = 3 + -1(x + -4) + -2x + 26 Combine like terms: 36 + 3 = 39 39 + -5x = 3 + -1(x + -4) + -2x + 26 Reorder the terms: 39 + -5x = 3 + -1(-4 + x) + -2x + 26 39 + -5x = 3 + (-4 * -1 + x * -1) + -2x + 26 39 + -5x = 3 + (4 + -1x) + -2x + 26 Reorder the terms: 39 + -5x = 3 + 4 + 26 + -1x + -2x Combine like terms: 3 + 4 = 7 39 + -5x = 7 + 26 + -1x + -2x Combine like terms: 7 + 26 = 33 39 + -5x = 33 + -1x + -2x Combine like terms: -1x + -2x = -3x 39 + -5x = 33 + -3x Solving 39 + -5x = 33 + -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 + -5x + 3x = 33 + -3x + 3x Combine like terms: -5x + 3x = -2x 39 + -2x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 39 + -2x = 33 + 0 39 + -2x = 33 Add '-39' to each side of the equation. 39 + -39 + -2x = 33 + -39 Combine like terms: 39 + -39 = 0 0 + -2x = 33 + -39 -2x = 33 + -39 Combine like terms: 33 + -39 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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