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Simplifying -2(8x + -1) + 2x = -5(x + 2) Reorder the terms: -2(-1 + 8x) + 2x = -5(x + 2) (-1 * -2 + 8x * -2) + 2x = -5(x + 2) (2 + -16x) + 2x = -5(x + 2) Combine like terms: -16x + 2x = -14x 2 + -14x = -5(x + 2) Reorder the terms: 2 + -14x = -5(2 + x) 2 + -14x = (2 * -5 + x * -5) 2 + -14x = (-10 + -5x) Solving 2 + -14x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -14x + 5x = -10 + -5x + 5x Combine like terms: -14x + 5x = -9x 2 + -9x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -9x = -10 + 0 2 + -9x = -10 Add '-2' to each side of the equation. 2 + -2 + -9x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -10 + -2 -9x = -10 + -2 Combine like terms: -10 + -2 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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