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Simplifying 2(x + -5) = 3(x + -3) Reorder the terms: 2(-5 + x) = 3(x + -3) (-5 * 2 + x * 2) = 3(x + -3) (-10 + 2x) = 3(x + -3) Reorder the terms: -10 + 2x = 3(-3 + x) -10 + 2x = (-3 * 3 + x * 3) -10 + 2x = (-9 + 3x) Solving -10 + 2x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 2x + -3x = -9 + 3x + -3x Combine like terms: 2x + -3x = -1x -10 + -1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -1x = -9 + 0 -10 + -1x = -9 Add '10' to each side of the equation. -10 + 10 + -1x = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -9 + 10 -1x = -9 + 10 Combine like terms: -9 + 10 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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