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Simplifying 3(x + -2) + 10 = 2(2x + 4) Reorder the terms: 3(-2 + x) + 10 = 2(2x + 4) (-2 * 3 + x * 3) + 10 = 2(2x + 4) (-6 + 3x) + 10 = 2(2x + 4) Reorder the terms: -6 + 10 + 3x = 2(2x + 4) Combine like terms: -6 + 10 = 4 4 + 3x = 2(2x + 4) Reorder the terms: 4 + 3x = 2(4 + 2x) 4 + 3x = (4 * 2 + 2x * 2) 4 + 3x = (8 + 4x) Solving 4 + 3x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = 8 + 0 4 + -1x = 8 Add '-4' to each side of the equation. 4 + -4 + -1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 8 + -4 -1x = 8 + -4 Combine like terms: 8 + -4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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