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Simplifying 5(x + 3) + 12 = -4x(-2 + 3) Reorder the terms: 5(3 + x) + 12 = -4x(-2 + 3) (3 * 5 + x * 5) + 12 = -4x(-2 + 3) (15 + 5x) + 12 = -4x(-2 + 3) Reorder the terms: 15 + 12 + 5x = -4x(-2 + 3) Combine like terms: 15 + 12 = 27 27 + 5x = -4x(-2 + 3) Combine like terms: -2 + 3 = 1 27 + 5x = -4x(1) Reorder the terms for easier multiplication: 27 + 5x = -4 * 1x Multiply -4 * 1 27 + 5x = -4x Solving 27 + 5x = -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. 27 + 5x + 4x = -4x + 4x Combine like terms: 5x + 4x = 9x 27 + 9x = -4x + 4x Combine like terms: -4x + 4x = 0 27 + 9x = 0 Add '-27' to each side of the equation. 27 + -27 + 9x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 0 + -27 9x = 0 + -27 Combine like terms: 0 + -27 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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