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Simplifying 8(2x + -6) + 72 = 128 + -2(2x + 4) Reorder the terms: 8(-6 + 2x) + 72 = 128 + -2(2x + 4) (-6 * 8 + 2x * 8) + 72 = 128 + -2(2x + 4) (-48 + 16x) + 72 = 128 + -2(2x + 4) Reorder the terms: -48 + 72 + 16x = 128 + -2(2x + 4) Combine like terms: -48 + 72 = 24 24 + 16x = 128 + -2(2x + 4) Reorder the terms: 24 + 16x = 128 + -2(4 + 2x) 24 + 16x = 128 + (4 * -2 + 2x * -2) 24 + 16x = 128 + (-8 + -4x) Combine like terms: 128 + -8 = 120 24 + 16x = 120 + -4x Solving 24 + 16x = 120 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 16x + 4x = 120 + -4x + 4x Combine like terms: 16x + 4x = 20x 24 + 20x = 120 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 20x = 120 + 0 24 + 20x = 120 Add '-24' to each side of the equation. 24 + -24 + 20x = 120 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = 120 + -24 20x = 120 + -24 Combine like terms: 120 + -24 = 96 20x = 96 Divide each side by '20'. x = 4.8 Simplifying x = 4.8
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