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Simplifying -8(1 + x) + -7 = 6x + -29 (1 * -8 + x * -8) + -7 = 6x + -29 (-8 + -8x) + -7 = 6x + -29 Reorder the terms: -8 + -7 + -8x = 6x + -29 Combine like terms: -8 + -7 = -15 -15 + -8x = 6x + -29 Reorder the terms: -15 + -8x = -29 + 6x Solving -15 + -8x = -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. -15 + -8x + -6x = -29 + 6x + -6x Combine like terms: -8x + -6x = -14x -15 + -14x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -14x = -29 + 0 -15 + -14x = -29 Add '15' to each side of the equation. -15 + 15 + -14x = -29 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = -29 + 15 -14x = -29 + 15 Combine like terms: -29 + 15 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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