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Simplifying 3(x + -3) + 4 = 2(x + 12) + -3x Reorder the terms: 3(-3 + x) + 4 = 2(x + 12) + -3x (-3 * 3 + x * 3) + 4 = 2(x + 12) + -3x (-9 + 3x) + 4 = 2(x + 12) + -3x Reorder the terms: -9 + 4 + 3x = 2(x + 12) + -3x Combine like terms: -9 + 4 = -5 -5 + 3x = 2(x + 12) + -3x Reorder the terms: -5 + 3x = 2(12 + x) + -3x -5 + 3x = (12 * 2 + x * 2) + -3x -5 + 3x = (24 + 2x) + -3x Combine like terms: 2x + -3x = -1x -5 + 3x = 24 + -1x Solving -5 + 3x = 24 + -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. -5 + 3x + x = 24 + -1x + x Combine like terms: 3x + x = 4x -5 + 4x = 24 + -1x + x Combine like terms: -1x + x = 0 -5 + 4x = 24 + 0 -5 + 4x = 24 Add '5' to each side of the equation. -5 + 5 + 4x = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 24 + 5 4x = 24 + 5 Combine like terms: 24 + 5 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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