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Simplifying -5(x + -2) + 8(2x + -1) = 8x + 4x Reorder the terms: -5(-2 + x) + 8(2x + -1) = 8x + 4x (-2 * -5 + x * -5) + 8(2x + -1) = 8x + 4x (10 + -5x) + 8(2x + -1) = 8x + 4x Reorder the terms: 10 + -5x + 8(-1 + 2x) = 8x + 4x 10 + -5x + (-1 * 8 + 2x * 8) = 8x + 4x 10 + -5x + (-8 + 16x) = 8x + 4x Reorder the terms: 10 + -8 + -5x + 16x = 8x + 4x Combine like terms: 10 + -8 = 2 2 + -5x + 16x = 8x + 4x Combine like terms: -5x + 16x = 11x 2 + 11x = 8x + 4x Combine like terms: 8x + 4x = 12x 2 + 11x = 12x Solving 2 + 11x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 11x + -12x = 12x + -12x Combine like terms: 11x + -12x = -1x 2 + -1x = 12x + -12x Combine like terms: 12x + -12x = 0 2 + -1x = 0 Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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