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Simplifying 4 + -2(-1x + 1) = -6(-2x + 3) + -5 Reorder the terms: 4 + -2(1 + -1x) = -6(-2x + 3) + -5 4 + (1 * -2 + -1x * -2) = -6(-2x + 3) + -5 4 + (-2 + 2x) = -6(-2x + 3) + -5 Combine like terms: 4 + -2 = 2 2 + 2x = -6(-2x + 3) + -5 Reorder the terms: 2 + 2x = -6(3 + -2x) + -5 2 + 2x = (3 * -6 + -2x * -6) + -5 2 + 2x = (-18 + 12x) + -5 Reorder the terms: 2 + 2x = -18 + -5 + 12x Combine like terms: -18 + -5 = -23 2 + 2x = -23 + 12x Solving 2 + 2x = -23 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 2x + -12x = -23 + 12x + -12x Combine like terms: 2x + -12x = -10x 2 + -10x = -23 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -10x = -23 + 0 2 + -10x = -23 Add '-2' to each side of the equation. 2 + -2 + -10x = -23 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -23 + -2 -10x = -23 + -2 Combine like terms: -23 + -2 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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