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Simplifying 9x + -1(4x + -7) = 6x + -29 Reorder the terms: 9x + -1(-7 + 4x) = 6x + -29 9x + (-7 * -1 + 4x * -1) = 6x + -29 9x + (7 + -4x) = 6x + -29 Reorder the terms: 7 + 9x + -4x = 6x + -29 Combine like terms: 9x + -4x = 5x 7 + 5x = 6x + -29 Reorder the terms: 7 + 5x = -29 + 6x Solving 7 + 5x = -29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 5x + -6x = -29 + 6x + -6x Combine like terms: 5x + -6x = -1x 7 + -1x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -1x = -29 + 0 7 + -1x = -29 Add '-7' to each side of the equation. 7 + -7 + -1x = -29 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -29 + -7 -1x = -29 + -7 Combine like terms: -29 + -7 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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