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Simplifying -4(x + -1) + 2 = 5(x + 3) Reorder the terms: -4(-1 + x) + 2 = 5(x + 3) (-1 * -4 + x * -4) + 2 = 5(x + 3) (4 + -4x) + 2 = 5(x + 3) Reorder the terms: 4 + 2 + -4x = 5(x + 3) Combine like terms: 4 + 2 = 6 6 + -4x = 5(x + 3) Reorder the terms: 6 + -4x = 5(3 + x) 6 + -4x = (3 * 5 + x * 5) 6 + -4x = (15 + 5x) Solving 6 + -4x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -4x + -5x = 15 + 5x + -5x Combine like terms: -4x + -5x = -9x 6 + -9x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -9x = 15 + 0 6 + -9x = 15 Add '-6' to each side of the equation. 6 + -6 + -9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 15 + -6 -9x = 15 + -6 Combine like terms: 15 + -6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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