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Simplifying 11x + -3x + 15 = 5(2x + 1) Reorder the terms: 15 + 11x + -3x = 5(2x + 1) Combine like terms: 11x + -3x = 8x 15 + 8x = 5(2x + 1) Reorder the terms: 15 + 8x = 5(1 + 2x) 15 + 8x = (1 * 5 + 2x * 5) 15 + 8x = (5 + 10x) Solving 15 + 8x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 8x + -10x = 5 + 10x + -10x Combine like terms: 8x + -10x = -2x 15 + -2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 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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