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Simplifying 6(5x + 6) + 6x = -8 + 8(5x + -2) Reorder the terms: 6(6 + 5x) + 6x = -8 + 8(5x + -2) (6 * 6 + 5x * 6) + 6x = -8 + 8(5x + -2) (36 + 30x) + 6x = -8 + 8(5x + -2) Combine like terms: 30x + 6x = 36x 36 + 36x = -8 + 8(5x + -2) Reorder the terms: 36 + 36x = -8 + 8(-2 + 5x) 36 + 36x = -8 + (-2 * 8 + 5x * 8) 36 + 36x = -8 + (-16 + 40x) Combine like terms: -8 + -16 = -24 36 + 36x = -24 + 40x Solving 36 + 36x = -24 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 36 + 36x + -40x = -24 + 40x + -40x Combine like terms: 36x + -40x = -4x 36 + -4x = -24 + 40x + -40x Combine like terms: 40x + -40x = 0 36 + -4x = -24 + 0 36 + -4x = -24 Add '-36' to each side of the equation. 36 + -36 + -4x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = -24 + -36 -4x = -24 + -36 Combine like terms: -24 + -36 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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