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Simplifying 3(2x + 5) = 6 + -1(x + -4) + -51 Reorder the terms: 3(5 + 2x) = 6 + -1(x + -4) + -51 (5 * 3 + 2x * 3) = 6 + -1(x + -4) + -51 (15 + 6x) = 6 + -1(x + -4) + -51 Reorder the terms: 15 + 6x = 6 + -1(-4 + x) + -51 15 + 6x = 6 + (-4 * -1 + x * -1) + -51 15 + 6x = 6 + (4 + -1x) + -51 Reorder the terms: 15 + 6x = 6 + 4 + -51 + -1x Combine like terms: 6 + 4 = 10 15 + 6x = 10 + -51 + -1x Combine like terms: 10 + -51 = -41 15 + 6x = -41 + -1x Solving 15 + 6x = -41 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 6x + x = -41 + -1x + x Combine like terms: 6x + x = 7x 15 + 7x = -41 + -1x + x Combine like terms: -1x + x = 0 15 + 7x = -41 + 0 15 + 7x = -41 Add '-15' to each side of the equation. 15 + -15 + 7x = -41 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -41 + -15 7x = -41 + -15 Combine like terms: -41 + -15 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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