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Simplifying -2(x + -3) + 5 = 10 + -3(x + 2) Reorder the terms: -2(-3 + x) + 5 = 10 + -3(x + 2) (-3 * -2 + x * -2) + 5 = 10 + -3(x + 2) (6 + -2x) + 5 = 10 + -3(x + 2) Reorder the terms: 6 + 5 + -2x = 10 + -3(x + 2) Combine like terms: 6 + 5 = 11 11 + -2x = 10 + -3(x + 2) Reorder the terms: 11 + -2x = 10 + -3(2 + x) 11 + -2x = 10 + (2 * -3 + x * -3) 11 + -2x = 10 + (-6 + -3x) Combine like terms: 10 + -6 = 4 11 + -2x = 4 + -3x Solving 11 + -2x = 4 + -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. 11 + -2x + 3x = 4 + -3x + 3x Combine like terms: -2x + 3x = 1x 11 + 1x = 4 + -3x + 3x Combine like terms: -3x + 3x = 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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