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Simplifying -4x + 3(x + -5) = 2(x + -3) Reorder the terms: -4x + 3(-5 + x) = 2(x + -3) -4x + (-5 * 3 + x * 3) = 2(x + -3) -4x + (-15 + 3x) = 2(x + -3) Reorder the terms: -15 + -4x + 3x = 2(x + -3) Combine like terms: -4x + 3x = -1x -15 + -1x = 2(x + -3) Reorder the terms: -15 + -1x = 2(-3 + x) -15 + -1x = (-3 * 2 + x * 2) -15 + -1x = (-6 + 2x) Solving -15 + -1x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x -15 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -3x = -6 + 0 -15 + -3x = -6 Add '15' to each side of the equation. -15 + 15 + -3x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -6 + 15 -3x = -6 + 15 Combine like terms: -6 + 15 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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