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Simplifying 4x + 2(x + 2) = -3(x + 3) Reorder the terms: 4x + 2(2 + x) = -3(x + 3) 4x + (2 * 2 + x * 2) = -3(x + 3) 4x + (4 + 2x) = -3(x + 3) Reorder the terms: 4 + 4x + 2x = -3(x + 3) Combine like terms: 4x + 2x = 6x 4 + 6x = -3(x + 3) Reorder the terms: 4 + 6x = -3(3 + x) 4 + 6x = (3 * -3 + x * -3) 4 + 6x = (-9 + -3x) Solving 4 + 6x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 6x + 3x = -9 + -3x + 3x Combine like terms: 6x + 3x = 9x 4 + 9x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 9x = -9 + 0 4 + 9x = -9 Add '-4' to each side of the equation. 4 + -4 + 9x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -9 + -4 9x = -9 + -4 Combine like terms: -9 + -4 = -13 9x = -13 Divide each side by '9'. x = -1.444444444 Simplifying x = -1.444444444
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