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Simplifying 3(x + -2) = 8x + 2 + -5(-2x + -2) Reorder the terms: 3(-2 + x) = 8x + 2 + -5(-2x + -2) (-2 * 3 + x * 3) = 8x + 2 + -5(-2x + -2) (-6 + 3x) = 8x + 2 + -5(-2x + -2) Reorder the terms: -6 + 3x = 8x + 2 + -5(-2 + -2x) -6 + 3x = 8x + 2 + (-2 * -5 + -2x * -5) -6 + 3x = 8x + 2 + (10 + 10x) Reorder the terms: -6 + 3x = 2 + 10 + 8x + 10x Combine like terms: 2 + 10 = 12 -6 + 3x = 12 + 8x + 10x Combine like terms: 8x + 10x = 18x -6 + 3x = 12 + 18x Solving -6 + 3x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + 3x + -18x = 12 + 18x + -18x Combine like terms: 3x + -18x = -15x -6 + -15x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -15x = 12 + 0 -6 + -15x = 12 Add '6' to each side of the equation. -6 + 6 + -15x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = 12 + 6 -15x = 12 + 6 Combine like terms: 12 + 6 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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