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Simplifying 162 + -1(7x + 15) = 7(x + 6) + x Reorder the terms: 162 + -1(15 + 7x) = 7(x + 6) + x 162 + (15 * -1 + 7x * -1) = 7(x + 6) + x 162 + (-15 + -7x) = 7(x + 6) + x Combine like terms: 162 + -15 = 147 147 + -7x = 7(x + 6) + x Reorder the terms: 147 + -7x = 7(6 + x) + x 147 + -7x = (6 * 7 + x * 7) + x 147 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 147 + -7x = 42 + 8x Solving 147 + -7x = 42 + 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. 147 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 147 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 147 + -15x = 42 + 0 147 + -15x = 42 Add '-147' to each side of the equation. 147 + -147 + -15x = 42 + -147 Combine like terms: 147 + -147 = 0 0 + -15x = 42 + -147 -15x = 42 + -147 Combine like terms: 42 + -147 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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