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Simplifying 8(x + -10) + -7 = 17x + -123 Reorder the terms: 8(-10 + x) + -7 = 17x + -123 (-10 * 8 + x * 8) + -7 = 17x + -123 (-80 + 8x) + -7 = 17x + -123 Reorder the terms: -80 + -7 + 8x = 17x + -123 Combine like terms: -80 + -7 = -87 -87 + 8x = 17x + -123 Reorder the terms: -87 + 8x = -123 + 17x Solving -87 + 8x = -123 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -87 + 8x + -17x = -123 + 17x + -17x Combine like terms: 8x + -17x = -9x -87 + -9x = -123 + 17x + -17x Combine like terms: 17x + -17x = 0 -87 + -9x = -123 + 0 -87 + -9x = -123 Add '87' to each side of the equation. -87 + 87 + -9x = -123 + 87 Combine like terms: -87 + 87 = 0 0 + -9x = -123 + 87 -9x = -123 + 87 Combine like terms: -123 + 87 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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