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Simplifying 10(x + -9) + -5 = 24x + -207 Reorder the terms: 10(-9 + x) + -5 = 24x + -207 (-9 * 10 + x * 10) + -5 = 24x + -207 (-90 + 10x) + -5 = 24x + -207 Reorder the terms: -90 + -5 + 10x = 24x + -207 Combine like terms: -90 + -5 = -95 -95 + 10x = 24x + -207 Reorder the terms: -95 + 10x = -207 + 24x Solving -95 + 10x = -207 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -95 + 10x + -24x = -207 + 24x + -24x Combine like terms: 10x + -24x = -14x -95 + -14x = -207 + 24x + -24x Combine like terms: 24x + -24x = 0 -95 + -14x = -207 + 0 -95 + -14x = -207 Add '95' to each side of the equation. -95 + 95 + -14x = -207 + 95 Combine like terms: -95 + 95 = 0 0 + -14x = -207 + 95 -14x = -207 + 95 Combine like terms: -207 + 95 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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