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Simplifying 4(2x + -5) = 2 + 10(x + -2) Reorder the terms: 4(-5 + 2x) = 2 + 10(x + -2) (-5 * 4 + 2x * 4) = 2 + 10(x + -2) (-20 + 8x) = 2 + 10(x + -2) Reorder the terms: -20 + 8x = 2 + 10(-2 + x) -20 + 8x = 2 + (-2 * 10 + x * 10) -20 + 8x = 2 + (-20 + 10x) Combine like terms: 2 + -20 = -18 -20 + 8x = -18 + 10x Solving -20 + 8x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 8x + -10x = -18 + 10x + -10x Combine like terms: 8x + -10x = -2x -20 + -2x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -2x = -18 + 0 -20 + -2x = -18 Add '20' to each side of the equation. -20 + 20 + -2x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -18 + 20 -2x = -18 + 20 Combine like terms: -18 + 20 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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