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Simplifying -7(x + 1) + -1x + -10 = 8(x + 4) * 15 Reorder the terms: -7(1 + x) + -1x + -10 = 8(x + 4) * 15 (1 * -7 + x * -7) + -1x + -10 = 8(x + 4) * 15 (-7 + -7x) + -1x + -10 = 8(x + 4) * 15 Reorder the terms: -7 + -10 + -7x + -1x = 8(x + 4) * 15 Combine like terms: -7 + -10 = -17 -17 + -7x + -1x = 8(x + 4) * 15 Combine like terms: -7x + -1x = -8x -17 + -8x = 8(x + 4) * 15 Reorder the terms: -17 + -8x = 8(4 + x) * 15 Reorder the terms for easier multiplication: -17 + -8x = 8 * 15(4 + x) Multiply 8 * 15 -17 + -8x = 120(4 + x) -17 + -8x = (4 * 120 + x * 120) -17 + -8x = (480 + 120x) Solving -17 + -8x = 480 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -17 + -8x + -120x = 480 + 120x + -120x Combine like terms: -8x + -120x = -128x -17 + -128x = 480 + 120x + -120x Combine like terms: 120x + -120x = 0 -17 + -128x = 480 + 0 -17 + -128x = 480 Add '17' to each side of the equation. -17 + 17 + -128x = 480 + 17 Combine like terms: -17 + 17 = 0 0 + -128x = 480 + 17 -128x = 480 + 17 Combine like terms: 480 + 17 = 497 -128x = 497 Divide each side by '-128'. x = -3.8828125 Simplifying x = -3.8828125
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