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Simplifying -3 + 2x = 2x + -3(x + 5) Reorder the terms: -3 + 2x = 2x + -3(5 + x) -3 + 2x = 2x + (5 * -3 + x * -3) -3 + 2x = 2x + (-15 + -3x) Reorder the terms: -3 + 2x = -15 + 2x + -3x Combine like terms: 2x + -3x = -1x -3 + 2x = -15 + -1x Solving -3 + 2x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 2x + x = -15 + -1x + x Combine like terms: 2x + x = 3x -3 + 3x = -15 + -1x + x Combine like terms: -1x + x = 0 -3 + 3x = -15 + 0 -3 + 3x = -15 Add '3' to each side of the equation. -3 + 3 + 3x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -15 + 3 3x = -15 + 3 Combine like terms: -15 + 3 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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