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Simplifying 5(x + 3) + -5 = 2x + 1 Reorder the terms: 5(3 + x) + -5 = 2x + 1 (3 * 5 + x * 5) + -5 = 2x + 1 (15 + 5x) + -5 = 2x + 1 Reorder the terms: 15 + -5 + 5x = 2x + 1 Combine like terms: 15 + -5 = 10 10 + 5x = 2x + 1 Reorder the terms: 10 + 5x = 1 + 2x Solving 10 + 5x = 1 + 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. 10 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x 10 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 3x = 1 + 0 10 + 3x = 1 Add '-10' to each side of the equation. 10 + -10 + 3x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 1 + -10 3x = 1 + -10 Combine like terms: 1 + -10 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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