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Simplifying 5(x + -2) + 9 = 10 + -3(x + 1) Reorder the terms: 5(-2 + x) + 9 = 10 + -3(x + 1) (-2 * 5 + x * 5) + 9 = 10 + -3(x + 1) (-10 + 5x) + 9 = 10 + -3(x + 1) Reorder the terms: -10 + 9 + 5x = 10 + -3(x + 1) Combine like terms: -10 + 9 = -1 -1 + 5x = 10 + -3(x + 1) Reorder the terms: -1 + 5x = 10 + -3(1 + x) -1 + 5x = 10 + (1 * -3 + x * -3) -1 + 5x = 10 + (-3 + -3x) Combine like terms: 10 + -3 = 7 -1 + 5x = 7 + -3x Solving -1 + 5x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 5x + 3x = 7 + -3x + 3x Combine like terms: 5x + 3x = 8x -1 + 8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 8x = 7 + 0 -1 + 8x = 7 Add '1' to each side of the equation. -1 + 1 + 8x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 7 + 1 8x = 7 + 1 Combine like terms: 7 + 1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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