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Simplifying 4(x + -7) + -7(x + -4) + -8(x + -10) = 9(x + -1) + -1x Reorder the terms: 4(-7 + x) + -7(x + -4) + -8(x + -10) = 9(x + -1) + -1x (-7 * 4 + x * 4) + -7(x + -4) + -8(x + -10) = 9(x + -1) + -1x (-28 + 4x) + -7(x + -4) + -8(x + -10) = 9(x + -1) + -1x Reorder the terms: -28 + 4x + -7(-4 + x) + -8(x + -10) = 9(x + -1) + -1x -28 + 4x + (-4 * -7 + x * -7) + -8(x + -10) = 9(x + -1) + -1x -28 + 4x + (28 + -7x) + -8(x + -10) = 9(x + -1) + -1x Reorder the terms: -28 + 4x + 28 + -7x + -8(-10 + x) = 9(x + -1) + -1x -28 + 4x + 28 + -7x + (-10 * -8 + x * -8) = 9(x + -1) + -1x -28 + 4x + 28 + -7x + (80 + -8x) = 9(x + -1) + -1x Reorder the terms: -28 + 28 + 80 + 4x + -7x + -8x = 9(x + -1) + -1x Combine like terms: -28 + 28 = 0 0 + 80 + 4x + -7x + -8x = 9(x + -1) + -1x 80 + 4x + -7x + -8x = 9(x + -1) + -1x Combine like terms: 4x + -7x = -3x 80 + -3x + -8x = 9(x + -1) + -1x Combine like terms: -3x + -8x = -11x 80 + -11x = 9(x + -1) + -1x Reorder the terms: 80 + -11x = 9(-1 + x) + -1x 80 + -11x = (-1 * 9 + x * 9) + -1x 80 + -11x = (-9 + 9x) + -1x Combine like terms: 9x + -1x = 8x 80 + -11x = -9 + 8x Solving 80 + -11x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 80 + -11x + -8x = -9 + 8x + -8x Combine like terms: -11x + -8x = -19x 80 + -19x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 80 + -19x = -9 + 0 80 + -19x = -9 Add '-80' to each side of the equation. 80 + -80 + -19x = -9 + -80 Combine like terms: 80 + -80 = 0 0 + -19x = -9 + -80 -19x = -9 + -80 Combine like terms: -9 + -80 = -89 -19x = -89 Divide each side by '-19'. x = 4.684210526 Simplifying x = 4.684210526
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