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Simplifying 2(8x + 73) + -1(2 + x) = -1(5 + -2x) + 6 Reorder the terms: 2(73 + 8x) + -1(2 + x) = -1(5 + -2x) + 6 (73 * 2 + 8x * 2) + -1(2 + x) = -1(5 + -2x) + 6 (146 + 16x) + -1(2 + x) = -1(5 + -2x) + 6 146 + 16x + (2 * -1 + x * -1) = -1(5 + -2x) + 6 146 + 16x + (-2 + -1x) = -1(5 + -2x) + 6 Reorder the terms: 146 + -2 + 16x + -1x = -1(5 + -2x) + 6 Combine like terms: 146 + -2 = 144 144 + 16x + -1x = -1(5 + -2x) + 6 Combine like terms: 16x + -1x = 15x 144 + 15x = -1(5 + -2x) + 6 144 + 15x = (5 * -1 + -2x * -1) + 6 144 + 15x = (-5 + 2x) + 6 Reorder the terms: 144 + 15x = -5 + 6 + 2x Combine like terms: -5 + 6 = 1 144 + 15x = 1 + 2x Solving 144 + 15x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 144 + 15x + -2x = 1 + 2x + -2x Combine like terms: 15x + -2x = 13x 144 + 13x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 144 + 13x = 1 + 0 144 + 13x = 1 Add '-144' to each side of the equation. 144 + -144 + 13x = 1 + -144 Combine like terms: 144 + -144 = 0 0 + 13x = 1 + -144 13x = 1 + -144 Combine like terms: 1 + -144 = -143 13x = -143 Divide each side by '13'. x = -11 Simplifying x = -11
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