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Simplifying 5(x + -2) + 3 = 2(x + 1) Reorder the terms: 5(-2 + x) + 3 = 2(x + 1) (-2 * 5 + x * 5) + 3 = 2(x + 1) (-10 + 5x) + 3 = 2(x + 1) Reorder the terms: -10 + 3 + 5x = 2(x + 1) Combine like terms: -10 + 3 = -7 -7 + 5x = 2(x + 1) Reorder the terms: -7 + 5x = 2(1 + x) -7 + 5x = (1 * 2 + x * 2) -7 + 5x = (2 + 2x) Solving -7 + 5x = 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. -7 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 2 + 0 -7 + 3x = 2 Add '7' to each side of the equation. -7 + 7 + 3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 2 + 7 3x = 2 + 7 Combine like terms: 2 + 7 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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