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Simplifying 5(x + 2) + x = -8(-6 + -1x) Reorder the terms: 5(2 + x) + x = -8(-6 + -1x) (2 * 5 + x * 5) + x = -8(-6 + -1x) (10 + 5x) + x = -8(-6 + -1x) Combine like terms: 5x + x = 6x 10 + 6x = -8(-6 + -1x) 10 + 6x = (-6 * -8 + -1x * -8) 10 + 6x = (48 + 8x) Solving 10 + 6x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 6x + -8x = 48 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = 48 + 0 10 + -2x = 48 Add '-10' to each side of the equation. 10 + -10 + -2x = 48 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 48 + -10 -2x = 48 + -10 Combine like terms: 48 + -10 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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