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Simplifying 8x + -1(4x + 7) = 6x + -29 Reorder the terms: 8x + -1(7 + 4x) = 6x + -29 8x + (7 * -1 + 4x * -1) = 6x + -29 8x + (-7 + -4x) = 6x + -29 Reorder the terms: -7 + 8x + -4x = 6x + -29 Combine like terms: 8x + -4x = 4x -7 + 4x = 6x + -29 Reorder the terms: -7 + 4x = -29 + 6x Solving -7 + 4x = -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 + 4x + -6x = -29 + 6x + -6x Combine like terms: 4x + -6x = -2x -7 + -2x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -2x = -29 + 0 -7 + -2x = -29 Add '7' to each side of the equation. -7 + 7 + -2x = -29 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -29 + 7 -2x = -29 + 7 Combine like terms: -29 + 7 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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