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Simplifying 5(x + 3) + 4(x + 3) = 3(x + -1) Reorder the terms: 5(3 + x) + 4(x + 3) = 3(x + -1) (3 * 5 + x * 5) + 4(x + 3) = 3(x + -1) (15 + 5x) + 4(x + 3) = 3(x + -1) Reorder the terms: 15 + 5x + 4(3 + x) = 3(x + -1) 15 + 5x + (3 * 4 + x * 4) = 3(x + -1) 15 + 5x + (12 + 4x) = 3(x + -1) Reorder the terms: 15 + 12 + 5x + 4x = 3(x + -1) Combine like terms: 15 + 12 = 27 27 + 5x + 4x = 3(x + -1) Combine like terms: 5x + 4x = 9x 27 + 9x = 3(x + -1) Reorder the terms: 27 + 9x = 3(-1 + x) 27 + 9x = (-1 * 3 + x * 3) 27 + 9x = (-3 + 3x) Solving 27 + 9x = -3 + 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. 27 + 9x + -3x = -3 + 3x + -3x Combine like terms: 9x + -3x = 6x 27 + 6x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 6x = -3 + 0 27 + 6x = -3 Add '-27' to each side of the equation. 27 + -27 + 6x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = -3 + -27 6x = -3 + -27 Combine like terms: -3 + -27 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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