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Simplifying 10x + -4(x + -1) = 9x + 24 + -2x Reorder the terms: 10x + -4(-1 + x) = 9x + 24 + -2x 10x + (-1 * -4 + x * -4) = 9x + 24 + -2x 10x + (4 + -4x) = 9x + 24 + -2x Reorder the terms: 4 + 10x + -4x = 9x + 24 + -2x Combine like terms: 10x + -4x = 6x 4 + 6x = 9x + 24 + -2x Reorder the terms: 4 + 6x = 24 + 9x + -2x Combine like terms: 9x + -2x = 7x 4 + 6x = 24 + 7x Solving 4 + 6x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 6x + -7x = 24 + 7x + -7x Combine like terms: 6x + -7x = -1x 4 + -1x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -1x = 24 + 0 4 + -1x = 24 Add '-4' to each side of the equation. 4 + -4 + -1x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 24 + -4 -1x = 24 + -4 Combine like terms: 24 + -4 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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