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Simplifying 5(x + 3) + -1x = 2x + 5 Reorder the terms: 5(3 + x) + -1x = 2x + 5 (3 * 5 + x * 5) + -1x = 2x + 5 (15 + 5x) + -1x = 2x + 5 Combine like terms: 5x + -1x = 4x 15 + 4x = 2x + 5 Reorder the terms: 15 + 4x = 5 + 2x Solving 15 + 4x = 5 + 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 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x 15 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 2x = 5 + 0 15 + 2x = 5 Add '-15' to each side of the equation. 15 + -15 + 2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 5 + -15 2x = 5 + -15 Combine like terms: 5 + -15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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