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Simplifying -4(x + -5) + 3(-6x + -6) = -23(x + 1) + -2 Reorder the terms: -4(-5 + x) + 3(-6x + -6) = -23(x + 1) + -2 (-5 * -4 + x * -4) + 3(-6x + -6) = -23(x + 1) + -2 (20 + -4x) + 3(-6x + -6) = -23(x + 1) + -2 Reorder the terms: 20 + -4x + 3(-6 + -6x) = -23(x + 1) + -2 20 + -4x + (-6 * 3 + -6x * 3) = -23(x + 1) + -2 20 + -4x + (-18 + -18x) = -23(x + 1) + -2 Reorder the terms: 20 + -18 + -4x + -18x = -23(x + 1) + -2 Combine like terms: 20 + -18 = 2 2 + -4x + -18x = -23(x + 1) + -2 Combine like terms: -4x + -18x = -22x 2 + -22x = -23(x + 1) + -2 Reorder the terms: 2 + -22x = -23(1 + x) + -2 2 + -22x = (1 * -23 + x * -23) + -2 2 + -22x = (-23 + -23x) + -2 Reorder the terms: 2 + -22x = -23 + -2 + -23x Combine like terms: -23 + -2 = -25 2 + -22x = -25 + -23x Solving 2 + -22x = -25 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 2 + -22x + 23x = -25 + -23x + 23x Combine like terms: -22x + 23x = 1x 2 + 1x = -25 + -23x + 23x Combine like terms: -23x + 23x = 0 2 + 1x = -25 + 0 2 + 1x = -25 Add '-2' to each side of the equation. 2 + -2 + 1x = -25 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -25 + -2 1x = -25 + -2 Combine like terms: -25 + -2 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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