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Simplifying 8(x + -3) = 10(x + -2) Reorder the terms: 8(-3 + x) = 10(x + -2) (-3 * 8 + x * 8) = 10(x + -2) (-24 + 8x) = 10(x + -2) Reorder the terms: -24 + 8x = 10(-2 + x) -24 + 8x = (-2 * 10 + x * 10) -24 + 8x = (-20 + 10x) Solving -24 + 8x = -20 + 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. -24 + 8x + -10x = -20 + 10x + -10x Combine like terms: 8x + -10x = -2x -24 + -2x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -2x = -20 + 0 -24 + -2x = -20 Add '24' to each side of the equation. -24 + 24 + -2x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -20 + 24 -2x = -20 + 24 Combine like terms: -20 + 24 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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