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Simplifying 2(x + 3) + 5(x + -1) = 4(x + -2) Reorder the terms: 2(3 + x) + 5(x + -1) = 4(x + -2) (3 * 2 + x * 2) + 5(x + -1) = 4(x + -2) (6 + 2x) + 5(x + -1) = 4(x + -2) Reorder the terms: 6 + 2x + 5(-1 + x) = 4(x + -2) 6 + 2x + (-1 * 5 + x * 5) = 4(x + -2) 6 + 2x + (-5 + 5x) = 4(x + -2) Reorder the terms: 6 + -5 + 2x + 5x = 4(x + -2) Combine like terms: 6 + -5 = 1 1 + 2x + 5x = 4(x + -2) Combine like terms: 2x + 5x = 7x 1 + 7x = 4(x + -2) Reorder the terms: 1 + 7x = 4(-2 + x) 1 + 7x = (-2 * 4 + x * 4) 1 + 7x = (-8 + 4x) Solving 1 + 7x = -8 + 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. 1 + 7x + -4x = -8 + 4x + -4x Combine like terms: 7x + -4x = 3x 1 + 3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 3x = -8 + 0 1 + 3x = -8 Add '-1' to each side of the equation. 1 + -1 + 3x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -8 + -1 3x = -8 + -1 Combine like terms: -8 + -1 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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