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Simplifying -4(18 + 8x) + 12(7 + -3x) = 50(x + 3) + -1(15 + -1x) (18 * -4 + 8x * -4) + 12(7 + -3x) = 50(x + 3) + -1(15 + -1x) (-72 + -32x) + 12(7 + -3x) = 50(x + 3) + -1(15 + -1x) -72 + -32x + (7 * 12 + -3x * 12) = 50(x + 3) + -1(15 + -1x) -72 + -32x + (84 + -36x) = 50(x + 3) + -1(15 + -1x) Reorder the terms: -72 + 84 + -32x + -36x = 50(x + 3) + -1(15 + -1x) Combine like terms: -72 + 84 = 12 12 + -32x + -36x = 50(x + 3) + -1(15 + -1x) Combine like terms: -32x + -36x = -68x 12 + -68x = 50(x + 3) + -1(15 + -1x) Reorder the terms: 12 + -68x = 50(3 + x) + -1(15 + -1x) 12 + -68x = (3 * 50 + x * 50) + -1(15 + -1x) 12 + -68x = (150 + 50x) + -1(15 + -1x) 12 + -68x = 150 + 50x + (15 * -1 + -1x * -1) 12 + -68x = 150 + 50x + (-15 + 1x) Reorder the terms: 12 + -68x = 150 + -15 + 50x + 1x Combine like terms: 150 + -15 = 135 12 + -68x = 135 + 50x + 1x Combine like terms: 50x + 1x = 51x 12 + -68x = 135 + 51x Solving 12 + -68x = 135 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 12 + -68x + -51x = 135 + 51x + -51x Combine like terms: -68x + -51x = -119x 12 + -119x = 135 + 51x + -51x Combine like terms: 51x + -51x = 0 12 + -119x = 135 + 0 12 + -119x = 135 Add '-12' to each side of the equation. 12 + -12 + -119x = 135 + -12 Combine like terms: 12 + -12 = 0 0 + -119x = 135 + -12 -119x = 135 + -12 Combine like terms: 135 + -12 = 123 -119x = 123 Divide each side by '-119'. x = -1.033613445 Simplifying x = -1.033613445
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