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Simplifying 6(8 + -1x) + 2 = -2(x + -2) + -4 (8 * 6 + -1x * 6) + 2 = -2(x + -2) + -4 (48 + -6x) + 2 = -2(x + -2) + -4 Reorder the terms: 48 + 2 + -6x = -2(x + -2) + -4 Combine like terms: 48 + 2 = 50 50 + -6x = -2(x + -2) + -4 Reorder the terms: 50 + -6x = -2(-2 + x) + -4 50 + -6x = (-2 * -2 + x * -2) + -4 50 + -6x = (4 + -2x) + -4 Reorder the terms: 50 + -6x = 4 + -4 + -2x Combine like terms: 4 + -4 = 0 50 + -6x = 0 + -2x 50 + -6x = -2x Solving 50 + -6x = -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. 50 + -6x + 2x = -2x + 2x Combine like terms: -6x + 2x = -4x 50 + -4x = -2x + 2x Combine like terms: -2x + 2x = 0 50 + -4x = 0 Add '-50' to each side of the equation. 50 + -50 + -4x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -4x = 0 + -50 -4x = 0 + -50 Combine like terms: 0 + -50 = -50 -4x = -50 Divide each side by '-4'. x = 12.5 Simplifying x = 12.5
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