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