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Simplifying 3(x + -2) + -5 = 2(x + -2) Reorder the terms: 3(-2 + x) + -5 = 2(x + -2) (-2 * 3 + x * 3) + -5 = 2(x + -2) (-6 + 3x) + -5 = 2(x + -2) Reorder the terms: -6 + -5 + 3x = 2(x + -2) Combine like terms: -6 + -5 = -11 -11 + 3x = 2(x + -2) Reorder the terms: -11 + 3x = 2(-2 + x) -11 + 3x = (-2 * 2 + x * 2) -11 + 3x = (-4 + 2x) Solving -11 + 3x = -4 + 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. -11 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -11 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 1x = -4 + 0 -11 + 1x = -4 Add '11' to each side of the equation. -11 + 11 + 1x = -4 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -4 + 11 1x = -4 + 11 Combine like terms: -4 + 11 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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