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Simplifying 10(x + -9) + -11 = 14x + -129 Reorder the terms: 10(-9 + x) + -11 = 14x + -129 (-9 * 10 + x * 10) + -11 = 14x + -129 (-90 + 10x) + -11 = 14x + -129 Reorder the terms: -90 + -11 + 10x = 14x + -129 Combine like terms: -90 + -11 = -101 -101 + 10x = 14x + -129 Reorder the terms: -101 + 10x = -129 + 14x Solving -101 + 10x = -129 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -101 + 10x + -14x = -129 + 14x + -14x Combine like terms: 10x + -14x = -4x -101 + -4x = -129 + 14x + -14x Combine like terms: 14x + -14x = 0 -101 + -4x = -129 + 0 -101 + -4x = -129 Add '101' to each side of the equation. -101 + 101 + -4x = -129 + 101 Combine like terms: -101 + 101 = 0 0 + -4x = -129 + 101 -4x = -129 + 101 Combine like terms: -129 + 101 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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