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Simplifying 5(x + 3) = 4x + -1(2x + 3) Reorder the terms: 5(3 + x) = 4x + -1(2x + 3) (3 * 5 + x * 5) = 4x + -1(2x + 3) (15 + 5x) = 4x + -1(2x + 3) Reorder the terms: 15 + 5x = 4x + -1(3 + 2x) 15 + 5x = 4x + (3 * -1 + 2x * -1) 15 + 5x = 4x + (-3 + -2x) Reorder the terms: 15 + 5x = -3 + 4x + -2x Combine like terms: 4x + -2x = 2x 15 + 5x = -3 + 2x Solving 15 + 5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x 15 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 3x = -3 + 0 15 + 3x = -3 Add '-15' to each side of the equation. 15 + -15 + 3x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = -3 + -15 3x = -3 + -15 Combine like terms: -3 + -15 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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