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Simplifying 5x + -1(x + -8) = 6 + -2(x + 15) Reorder the terms: 5x + -1(-8 + x) = 6 + -2(x + 15) 5x + (-8 * -1 + x * -1) = 6 + -2(x + 15) 5x + (8 + -1x) = 6 + -2(x + 15) Reorder the terms: 8 + 5x + -1x = 6 + -2(x + 15) Combine like terms: 5x + -1x = 4x 8 + 4x = 6 + -2(x + 15) Reorder the terms: 8 + 4x = 6 + -2(15 + x) 8 + 4x = 6 + (15 * -2 + x * -2) 8 + 4x = 6 + (-30 + -2x) Combine like terms: 6 + -30 = -24 8 + 4x = -24 + -2x Solving 8 + 4x = -24 + -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. 8 + 4x + 2x = -24 + -2x + 2x Combine like terms: 4x + 2x = 6x 8 + 6x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 6x = -24 + 0 8 + 6x = -24 Add '-8' to each side of the equation. 8 + -8 + 6x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -24 + -8 6x = -24 + -8 Combine like terms: -24 + -8 = -32 6x = -32 Divide each side by '6'. x = -5.333333333 Simplifying x = -5.333333333
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