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Simplifying 3(x + 3) + -2 = 4(x + -1) Reorder the terms: 3(3 + x) + -2 = 4(x + -1) (3 * 3 + x * 3) + -2 = 4(x + -1) (9 + 3x) + -2 = 4(x + -1) Reorder the terms: 9 + -2 + 3x = 4(x + -1) Combine like terms: 9 + -2 = 7 7 + 3x = 4(x + -1) Reorder the terms: 7 + 3x = 4(-1 + x) 7 + 3x = (-1 * 4 + x * 4) 7 + 3x = (-4 + 4x) Solving 7 + 3x = -4 + 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. 7 + 3x + -4x = -4 + 4x + -4x Combine like terms: 3x + -4x = -1x 7 + -1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -1x = -4 + 0 7 + -1x = -4 Add '-7' to each side of the equation. 7 + -7 + -1x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -4 + -7 -1x = -4 + -7 Combine like terms: -4 + -7 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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