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Simplifying 4(x + -16) + -1(8 + -1x) = 10(x + 1) + -2(15 + 8x) Reorder the terms: 4(-16 + x) + -1(8 + -1x) = 10(x + 1) + -2(15 + 8x) (-16 * 4 + x * 4) + -1(8 + -1x) = 10(x + 1) + -2(15 + 8x) (-64 + 4x) + -1(8 + -1x) = 10(x + 1) + -2(15 + 8x) -64 + 4x + (8 * -1 + -1x * -1) = 10(x + 1) + -2(15 + 8x) -64 + 4x + (-8 + 1x) = 10(x + 1) + -2(15 + 8x) Reorder the terms: -64 + -8 + 4x + 1x = 10(x + 1) + -2(15 + 8x) Combine like terms: -64 + -8 = -72 -72 + 4x + 1x = 10(x + 1) + -2(15 + 8x) Combine like terms: 4x + 1x = 5x -72 + 5x = 10(x + 1) + -2(15 + 8x) Reorder the terms: -72 + 5x = 10(1 + x) + -2(15 + 8x) -72 + 5x = (1 * 10 + x * 10) + -2(15 + 8x) -72 + 5x = (10 + 10x) + -2(15 + 8x) -72 + 5x = 10 + 10x + (15 * -2 + 8x * -2) -72 + 5x = 10 + 10x + (-30 + -16x) Reorder the terms: -72 + 5x = 10 + -30 + 10x + -16x Combine like terms: 10 + -30 = -20 -72 + 5x = -20 + 10x + -16x Combine like terms: 10x + -16x = -6x -72 + 5x = -20 + -6x Solving -72 + 5x = -20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -72 + 5x + 6x = -20 + -6x + 6x Combine like terms: 5x + 6x = 11x -72 + 11x = -20 + -6x + 6x Combine like terms: -6x + 6x = 0 -72 + 11x = -20 + 0 -72 + 11x = -20 Add '72' to each side of the equation. -72 + 72 + 11x = -20 + 72 Combine like terms: -72 + 72 = 0 0 + 11x = -20 + 72 11x = -20 + 72 Combine like terms: -20 + 72 = 52 11x = 52 Divide each side by '11'. x = 4.727272727 Simplifying x = 4.727272727
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