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Simplifying -14 + 5(3x + 10) = -6(2x + 4) + x + 8 Reorder the terms: -14 + 5(10 + 3x) = -6(2x + 4) + x + 8 -14 + (10 * 5 + 3x * 5) = -6(2x + 4) + x + 8 -14 + (50 + 15x) = -6(2x + 4) + x + 8 Combine like terms: -14 + 50 = 36 36 + 15x = -6(2x + 4) + x + 8 Reorder the terms: 36 + 15x = -6(4 + 2x) + x + 8 36 + 15x = (4 * -6 + 2x * -6) + x + 8 36 + 15x = (-24 + -12x) + x + 8 Reorder the terms: 36 + 15x = -24 + 8 + -12x + x Combine like terms: -24 + 8 = -16 36 + 15x = -16 + -12x + x Combine like terms: -12x + x = -11x 36 + 15x = -16 + -11x Solving 36 + 15x = -16 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 36 + 15x + 11x = -16 + -11x + 11x Combine like terms: 15x + 11x = 26x 36 + 26x = -16 + -11x + 11x Combine like terms: -11x + 11x = 0 36 + 26x = -16 + 0 36 + 26x = -16 Add '-36' to each side of the equation. 36 + -36 + 26x = -16 + -36 Combine like terms: 36 + -36 = 0 0 + 26x = -16 + -36 26x = -16 + -36 Combine like terms: -16 + -36 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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