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Simplifying 2(3x + -7) + 40 = -5(x + -8) + 15x + -26 Reorder the terms: 2(-7 + 3x) + 40 = -5(x + -8) + 15x + -26 (-7 * 2 + 3x * 2) + 40 = -5(x + -8) + 15x + -26 (-14 + 6x) + 40 = -5(x + -8) + 15x + -26 Reorder the terms: -14 + 40 + 6x = -5(x + -8) + 15x + -26 Combine like terms: -14 + 40 = 26 26 + 6x = -5(x + -8) + 15x + -26 Reorder the terms: 26 + 6x = -5(-8 + x) + 15x + -26 26 + 6x = (-8 * -5 + x * -5) + 15x + -26 26 + 6x = (40 + -5x) + 15x + -26 Reorder the terms: 26 + 6x = 40 + -26 + -5x + 15x Combine like terms: 40 + -26 = 14 26 + 6x = 14 + -5x + 15x Combine like terms: -5x + 15x = 10x 26 + 6x = 14 + 10x Solving 26 + 6x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 26 + 6x + -10x = 14 + 10x + -10x Combine like terms: 6x + -10x = -4x 26 + -4x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 26 + -4x = 14 + 0 26 + -4x = 14 Add '-26' to each side of the equation. 26 + -26 + -4x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 14 + -26 -4x = 14 + -26 Combine like terms: 14 + -26 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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