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Simplifying 2(x + -3) + -3(x + 5) = 3(x + -2) Reorder the terms: 2(-3 + x) + -3(x + 5) = 3(x + -2) (-3 * 2 + x * 2) + -3(x + 5) = 3(x + -2) (-6 + 2x) + -3(x + 5) = 3(x + -2) Reorder the terms: -6 + 2x + -3(5 + x) = 3(x + -2) -6 + 2x + (5 * -3 + x * -3) = 3(x + -2) -6 + 2x + (-15 + -3x) = 3(x + -2) Reorder the terms: -6 + -15 + 2x + -3x = 3(x + -2) Combine like terms: -6 + -15 = -21 -21 + 2x + -3x = 3(x + -2) Combine like terms: 2x + -3x = -1x -21 + -1x = 3(x + -2) Reorder the terms: -21 + -1x = 3(-2 + x) -21 + -1x = (-2 * 3 + x * 3) -21 + -1x = (-6 + 3x) Solving -21 + -1x = -6 + 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. -21 + -1x + -3x = -6 + 3x + -3x Combine like terms: -1x + -3x = -4x -21 + -4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -4x = -6 + 0 -21 + -4x = -6 Add '21' to each side of the equation. -21 + 21 + -4x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = -6 + 21 -4x = -6 + 21 Combine like terms: -6 + 21 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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