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Simplifying 5(x + -2) + 8 = 9(x + -1) + 3 Reorder the terms: 5(-2 + x) + 8 = 9(x + -1) + 3 (-2 * 5 + x * 5) + 8 = 9(x + -1) + 3 (-10 + 5x) + 8 = 9(x + -1) + 3 Reorder the terms: -10 + 8 + 5x = 9(x + -1) + 3 Combine like terms: -10 + 8 = -2 -2 + 5x = 9(x + -1) + 3 Reorder the terms: -2 + 5x = 9(-1 + x) + 3 -2 + 5x = (-1 * 9 + x * 9) + 3 -2 + 5x = (-9 + 9x) + 3 Reorder the terms: -2 + 5x = -9 + 3 + 9x Combine like terms: -9 + 3 = -6 -2 + 5x = -6 + 9x Solving -2 + 5x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = -6 + 0 -2 + -4x = -6 Add '2' to each side of the equation. -2 + 2 + -4x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -6 + 2 -4x = -6 + 2 Combine like terms: -6 + 2 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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