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Simplifying 78 + -1(6x + -7) = x + (x + 29) Reorder the terms: 78 + -1(-7 + 6x) = x + (x + 29) 78 + (-7 * -1 + 6x * -1) = x + (x + 29) 78 + (7 + -6x) = x + (x + 29) Combine like terms: 78 + 7 = 85 85 + -6x = x + (x + 29) Reorder the terms: 85 + -6x = x + (29 + x) Remove parenthesis around (29 + x) 85 + -6x = x + 29 + x Reorder the terms: 85 + -6x = 29 + x + x Combine like terms: x + x = 2x 85 + -6x = 29 + 2x Solving 85 + -6x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 85 + -6x + -2x = 29 + 2x + -2x Combine like terms: -6x + -2x = -8x 85 + -8x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 85 + -8x = 29 + 0 85 + -8x = 29 Add '-85' to each side of the equation. 85 + -85 + -8x = 29 + -85 Combine like terms: 85 + -85 = 0 0 + -8x = 29 + -85 -8x = 29 + -85 Combine like terms: 29 + -85 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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