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Simplifying 51 + -1(3x + 15) = 3(x + 5) + x Reorder the terms: 51 + -1(15 + 3x) = 3(x + 5) + x 51 + (15 * -1 + 3x * -1) = 3(x + 5) + x 51 + (-15 + -3x) = 3(x + 5) + x Combine like terms: 51 + -15 = 36 36 + -3x = 3(x + 5) + x Reorder the terms: 36 + -3x = 3(5 + x) + x 36 + -3x = (5 * 3 + x * 3) + x 36 + -3x = (15 + 3x) + x Combine like terms: 3x + x = 4x 36 + -3x = 15 + 4x Solving 36 + -3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + -3x + -4x = 15 + 4x + -4x Combine like terms: -3x + -4x = -7x 36 + -7x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -7x = 15 + 0 36 + -7x = 15 Add '-36' to each side of the equation. 36 + -36 + -7x = 15 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = 15 + -36 -7x = 15 + -36 Combine like terms: 15 + -36 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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