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Simplifying -5x + 2 = 3(x + -2) Reorder the terms: 2 + -5x = 3(x + -2) Reorder the terms: 2 + -5x = 3(-2 + x) 2 + -5x = (-2 * 3 + x * 3) 2 + -5x = (-6 + 3x) Solving 2 + -5x = -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. 2 + -5x + -3x = -6 + 3x + -3x Combine like terms: -5x + -3x = -8x 2 + -8x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -8x = -6 + 0 2 + -8x = -6 Add '-2' to each side of the equation. 2 + -2 + -8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -6 + -2 -8x = -6 + -2 Combine like terms: -6 + -2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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