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Simplifying 10 + -10(x + -9) = 6x + 4(1 + 2x) Reorder the terms: 10 + -10(-9 + x) = 6x + 4(1 + 2x) 10 + (-9 * -10 + x * -10) = 6x + 4(1 + 2x) 10 + (90 + -10x) = 6x + 4(1 + 2x) Combine like terms: 10 + 90 = 100 100 + -10x = 6x + 4(1 + 2x) 100 + -10x = 6x + (1 * 4 + 2x * 4) 100 + -10x = 6x + (4 + 8x) Reorder the terms: 100 + -10x = 4 + 6x + 8x Combine like terms: 6x + 8x = 14x 100 + -10x = 4 + 14x Solving 100 + -10x = 4 + 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. 100 + -10x + -14x = 4 + 14x + -14x Combine like terms: -10x + -14x = -24x 100 + -24x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 100 + -24x = 4 + 0 100 + -24x = 4 Add '-100' to each side of the equation. 100 + -100 + -24x = 4 + -100 Combine like terms: 100 + -100 = 0 0 + -24x = 4 + -100 -24x = 4 + -100 Combine like terms: 4 + -100 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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