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