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Simplifying 3(x + -3) + 6 = 4(x + 3) Reorder the terms: 3(-3 + x) + 6 = 4(x + 3) (-3 * 3 + x * 3) + 6 = 4(x + 3) (-9 + 3x) + 6 = 4(x + 3) Reorder the terms: -9 + 6 + 3x = 4(x + 3) Combine like terms: -9 + 6 = -3 -3 + 3x = 4(x + 3) Reorder the terms: -3 + 3x = 4(3 + x) -3 + 3x = (3 * 4 + x * 4) -3 + 3x = (12 + 4x) Solving -3 + 3x = 12 + 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. -3 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = 12 + 0 -3 + -1x = 12 Add '3' to each side of the equation. -3 + 3 + -1x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 12 + 3 -1x = 12 + 3 Combine like terms: 12 + 3 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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