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Simplifying 152 + -1(7x + 14) = 7(x + 9) + x Reorder the terms: 152 + -1(14 + 7x) = 7(x + 9) + x 152 + (14 * -1 + 7x * -1) = 7(x + 9) + x 152 + (-14 + -7x) = 7(x + 9) + x Combine like terms: 152 + -14 = 138 138 + -7x = 7(x + 9) + x Reorder the terms: 138 + -7x = 7(9 + x) + x 138 + -7x = (9 * 7 + x * 7) + x 138 + -7x = (63 + 7x) + x Combine like terms: 7x + x = 8x 138 + -7x = 63 + 8x Solving 138 + -7x = 63 + 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. 138 + -7x + -8x = 63 + 8x + -8x Combine like terms: -7x + -8x = -15x 138 + -15x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 138 + -15x = 63 + 0 138 + -15x = 63 Add '-138' to each side of the equation. 138 + -138 + -15x = 63 + -138 Combine like terms: 138 + -138 = 0 0 + -15x = 63 + -138 -15x = 63 + -138 Combine like terms: 63 + -138 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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