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Simplifying 2(4x + -3) + 24 = -5(x + -7) + 16x + -26 Reorder the terms: 2(-3 + 4x) + 24 = -5(x + -7) + 16x + -26 (-3 * 2 + 4x * 2) + 24 = -5(x + -7) + 16x + -26 (-6 + 8x) + 24 = -5(x + -7) + 16x + -26 Reorder the terms: -6 + 24 + 8x = -5(x + -7) + 16x + -26 Combine like terms: -6 + 24 = 18 18 + 8x = -5(x + -7) + 16x + -26 Reorder the terms: 18 + 8x = -5(-7 + x) + 16x + -26 18 + 8x = (-7 * -5 + x * -5) + 16x + -26 18 + 8x = (35 + -5x) + 16x + -26 Reorder the terms: 18 + 8x = 35 + -26 + -5x + 16x Combine like terms: 35 + -26 = 9 18 + 8x = 9 + -5x + 16x Combine like terms: -5x + 16x = 11x 18 + 8x = 9 + 11x Solving 18 + 8x = 9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + 8x + -11x = 9 + 11x + -11x Combine like terms: 8x + -11x = -3x 18 + -3x = 9 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -3x = 9 + 0 18 + -3x = 9 Add '-18' to each side of the equation. 18 + -18 + -3x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 9 + -18 -3x = 9 + -18 Combine like terms: 9 + -18 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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