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Simplifying 5x + -2(3x + -4) = -3(x + 3) Reorder the terms: 5x + -2(-4 + 3x) = -3(x + 3) 5x + (-4 * -2 + 3x * -2) = -3(x + 3) 5x + (8 + -6x) = -3(x + 3) Reorder the terms: 8 + 5x + -6x = -3(x + 3) Combine like terms: 5x + -6x = -1x 8 + -1x = -3(x + 3) Reorder the terms: 8 + -1x = -3(3 + x) 8 + -1x = (3 * -3 + x * -3) 8 + -1x = (-9 + -3x) Solving 8 + -1x = -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. 8 + -1x + 3x = -9 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 2x = -9 + 0 8 + 2x = -9 Add '-8' to each side of the equation. 8 + -8 + 2x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -9 + -8 2x = -9 + -8 Combine like terms: -9 + -8 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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