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Simplifying 5(x + -2) + -8 = -2(-4x + 5) + -9 Reorder the terms: 5(-2 + x) + -8 = -2(-4x + 5) + -9 (-2 * 5 + x * 5) + -8 = -2(-4x + 5) + -9 (-10 + 5x) + -8 = -2(-4x + 5) + -9 Reorder the terms: -10 + -8 + 5x = -2(-4x + 5) + -9 Combine like terms: -10 + -8 = -18 -18 + 5x = -2(-4x + 5) + -9 Reorder the terms: -18 + 5x = -2(5 + -4x) + -9 -18 + 5x = (5 * -2 + -4x * -2) + -9 -18 + 5x = (-10 + 8x) + -9 Reorder the terms: -18 + 5x = -10 + -9 + 8x Combine like terms: -10 + -9 = -19 -18 + 5x = -19 + 8x Solving -18 + 5x = -19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 5x + -8x = -19 + 8x + -8x Combine like terms: 5x + -8x = -3x -18 + -3x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -3x = -19 + 0 -18 + -3x = -19 Add '18' to each side of the equation. -18 + 18 + -3x = -19 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -19 + 18 -3x = -19 + 18 Combine like terms: -19 + 18 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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