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Simplifying 146 + -1(7x + 15) = 7(x + 8) + x Reorder the terms: 146 + -1(15 + 7x) = 7(x + 8) + x 146 + (15 * -1 + 7x * -1) = 7(x + 8) + x 146 + (-15 + -7x) = 7(x + 8) + x Combine like terms: 146 + -15 = 131 131 + -7x = 7(x + 8) + x Reorder the terms: 131 + -7x = 7(8 + x) + x 131 + -7x = (8 * 7 + x * 7) + x 131 + -7x = (56 + 7x) + x Combine like terms: 7x + x = 8x 131 + -7x = 56 + 8x Solving 131 + -7x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 131 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x 131 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 131 + -15x = 56 + 0 131 + -15x = 56 Add '-131' to each side of the equation. 131 + -131 + -15x = 56 + -131 Combine like terms: 131 + -131 = 0 0 + -15x = 56 + -131 -15x = 56 + -131 Combine like terms: 56 + -131 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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