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Simplifying 79 + -1(7x + 14) = 7(x + 5) + x Reorder the terms: 79 + -1(14 + 7x) = 7(x + 5) + x 79 + (14 * -1 + 7x * -1) = 7(x + 5) + x 79 + (-14 + -7x) = 7(x + 5) + x Combine like terms: 79 + -14 = 65 65 + -7x = 7(x + 5) + x Reorder the terms: 65 + -7x = 7(5 + x) + x 65 + -7x = (5 * 7 + x * 7) + x 65 + -7x = (35 + 7x) + x Combine like terms: 7x + x = 8x 65 + -7x = 35 + 8x Solving 65 + -7x = 35 + 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. 65 + -7x + -8x = 35 + 8x + -8x Combine like terms: -7x + -8x = -15x 65 + -15x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 65 + -15x = 35 + 0 65 + -15x = 35 Add '-65' to each side of the equation. 65 + -65 + -15x = 35 + -65 Combine like terms: 65 + -65 = 0 0 + -15x = 35 + -65 -15x = 35 + -65 Combine like terms: 35 + -65 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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