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Simplifying 10 + -2(-2x + 3) = -3x + 2(x + 1) Reorder the terms: 10 + -2(3 + -2x) = -3x + 2(x + 1) 10 + (3 * -2 + -2x * -2) = -3x + 2(x + 1) 10 + (-6 + 4x) = -3x + 2(x + 1) Combine like terms: 10 + -6 = 4 4 + 4x = -3x + 2(x + 1) Reorder the terms: 4 + 4x = -3x + 2(1 + x) 4 + 4x = -3x + (1 * 2 + x * 2) 4 + 4x = -3x + (2 + 2x) Reorder the terms: 4 + 4x = 2 + -3x + 2x Combine like terms: -3x + 2x = -1x 4 + 4x = 2 + -1x Solving 4 + 4x = 2 + -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. 4 + 4x + x = 2 + -1x + x Combine like terms: 4x + x = 5x 4 + 5x = 2 + -1x + x Combine like terms: -1x + x = 0 4 + 5x = 2 + 0 4 + 5x = 2 Add '-4' to each side of the equation. 4 + -4 + 5x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 2 + -4 5x = 2 + -4 Combine like terms: 2 + -4 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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