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Simplifying -10(x + -2) = -4(2x + -3) Reorder the terms: -10(-2 + x) = -4(2x + -3) (-2 * -10 + x * -10) = -4(2x + -3) (20 + -10x) = -4(2x + -3) Reorder the terms: 20 + -10x = -4(-3 + 2x) 20 + -10x = (-3 * -4 + 2x * -4) 20 + -10x = (12 + -8x) Solving 20 + -10x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + -10x + 8x = 12 + -8x + 8x Combine like terms: -10x + 8x = -2x 20 + -2x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + -2x = 12 + 0 20 + -2x = 12 Add '-20' to each side of the equation. 20 + -20 + -2x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 12 + -20 -2x = 12 + -20 Combine like terms: 12 + -20 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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