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Simplifying 5(6x + 5) + -3(x + -1) = 15(2x + -1) Reorder the terms: 5(5 + 6x) + -3(x + -1) = 15(2x + -1) (5 * 5 + 6x * 5) + -3(x + -1) = 15(2x + -1) (25 + 30x) + -3(x + -1) = 15(2x + -1) Reorder the terms: 25 + 30x + -3(-1 + x) = 15(2x + -1) 25 + 30x + (-1 * -3 + x * -3) = 15(2x + -1) 25 + 30x + (3 + -3x) = 15(2x + -1) Reorder the terms: 25 + 3 + 30x + -3x = 15(2x + -1) Combine like terms: 25 + 3 = 28 28 + 30x + -3x = 15(2x + -1) Combine like terms: 30x + -3x = 27x 28 + 27x = 15(2x + -1) Reorder the terms: 28 + 27x = 15(-1 + 2x) 28 + 27x = (-1 * 15 + 2x * 15) 28 + 27x = (-15 + 30x) Solving 28 + 27x = -15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 28 + 27x + -30x = -15 + 30x + -30x Combine like terms: 27x + -30x = -3x 28 + -3x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 28 + -3x = -15 + 0 28 + -3x = -15 Add '-28' to each side of the equation. 28 + -28 + -3x = -15 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = -15 + -28 -3x = -15 + -28 Combine like terms: -15 + -28 = -43 -3x = -43 Divide each side by '-3'. x = 14.33333333 Simplifying x = 14.33333333
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