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Simplifying 5(x + -2) + 8 = 2(x + -3) Reorder the terms: 5(-2 + x) + 8 = 2(x + -3) (-2 * 5 + x * 5) + 8 = 2(x + -3) (-10 + 5x) + 8 = 2(x + -3) Reorder the terms: -10 + 8 + 5x = 2(x + -3) Combine like terms: -10 + 8 = -2 -2 + 5x = 2(x + -3) Reorder the terms: -2 + 5x = 2(-3 + x) -2 + 5x = (-3 * 2 + x * 2) -2 + 5x = (-6 + 2x) Solving -2 + 5x = -6 + 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. -2 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x -2 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 3x = -6 + 0 -2 + 3x = -6 Add '2' to each side of the equation. -2 + 2 + 3x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -6 + 2 3x = -6 + 2 Combine like terms: -6 + 2 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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