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Simplifying 6(-1x + 5) = 2(x + 8) + -10 Reorder the terms: 6(5 + -1x) = 2(x + 8) + -10 (5 * 6 + -1x * 6) = 2(x + 8) + -10 (30 + -6x) = 2(x + 8) + -10 Reorder the terms: 30 + -6x = 2(8 + x) + -10 30 + -6x = (8 * 2 + x * 2) + -10 30 + -6x = (16 + 2x) + -10 Reorder the terms: 30 + -6x = 16 + -10 + 2x Combine like terms: 16 + -10 = 6 30 + -6x = 6 + 2x Solving 30 + -6x = 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. 30 + -6x + -2x = 6 + 2x + -2x Combine like terms: -6x + -2x = -8x 30 + -8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -8x = 6 + 0 30 + -8x = 6 Add '-30' to each side of the equation. 30 + -30 + -8x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = 6 + -30 -8x = 6 + -30 Combine like terms: 6 + -30 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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