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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 Reorder the terms: -17 + -7X + -1x = 8(4 + x) + 15 -17 + -7X + -1x = (4 * 8 + x * 8) + 15 -17 + -7X + -1x = (32 + 8x) + 15 Reorder the terms: -17 + -7X + -1x = 32 + 15 + 8x Combine like terms: 32 + 15 = 47 -17 + -7X + -1x = 47 + 8x Solving -17 + -7X + -1x = 47 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -7X + 17 + -1x = 47 + 17 + 8x Reorder the terms: -17 + 17 + -7X + -1x = 47 + 17 + 8x Combine like terms: -17 + 17 = 0 0 + -7X + -1x = 47 + 17 + 8x -7X + -1x = 47 + 17 + 8x Combine like terms: 47 + 17 = 64 -7X + -1x = 64 + 8x Add 'x' to each side of the equation. -7X + -1x + x = 64 + 8x + x Combine like terms: -1x + x = 0 -7X + 0 = 64 + 8x + x -7X = 64 + 8x + x Combine like terms: 8x + x = 9x -7X = 64 + 9x Divide each side by '-7'. X = -9.142857143 + -1.285714286x Simplifying X = -9.142857143 + -1.285714286x
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