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Simplifying 5(2x + -3) + 1 = 2(x + 1) Reorder the terms: 5(-3 + 2x) + 1 = 2(x + 1) (-3 * 5 + 2x * 5) + 1 = 2(x + 1) (-15 + 10x) + 1 = 2(x + 1) Reorder the terms: -15 + 1 + 10x = 2(x + 1) Combine like terms: -15 + 1 = -14 -14 + 10x = 2(x + 1) Reorder the terms: -14 + 10x = 2(1 + x) -14 + 10x = (1 * 2 + x * 2) -14 + 10x = (2 + 2x) Solving -14 + 10x = 2 + 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. -14 + 10x + -2x = 2 + 2x + -2x Combine like terms: 10x + -2x = 8x -14 + 8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 8x = 2 + 0 -14 + 8x = 2 Add '14' to each side of the equation. -14 + 14 + 8x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 2 + 14 8x = 2 + 14 Combine like terms: 2 + 14 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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