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Simplifying 2(x + -3) + x = 3(4 + -1x) + 2x Reorder the terms: 2(-3 + x) + x = 3(4 + -1x) + 2x (-3 * 2 + x * 2) + x = 3(4 + -1x) + 2x (-6 + 2x) + x = 3(4 + -1x) + 2x Combine like terms: 2x + x = 3x -6 + 3x = 3(4 + -1x) + 2x -6 + 3x = (4 * 3 + -1x * 3) + 2x -6 + 3x = (12 + -3x) + 2x Combine like terms: -3x + 2x = -1x -6 + 3x = 12 + -1x Solving -6 + 3x = 12 + -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. -6 + 3x + x = 12 + -1x + x Combine like terms: 3x + x = 4x -6 + 4x = 12 + -1x + x Combine like terms: -1x + x = 0 -6 + 4x = 12 + 0 -6 + 4x = 12 Add '6' to each side of the equation. -6 + 6 + 4x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 12 + 6 4x = 12 + 6 Combine like terms: 12 + 6 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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