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Simplifying 6x + -1(4x + 7) = 3x + -29 Reorder the terms: 6x + -1(7 + 4x) = 3x + -29 6x + (7 * -1 + 4x * -1) = 3x + -29 6x + (-7 + -4x) = 3x + -29 Reorder the terms: -7 + 6x + -4x = 3x + -29 Combine like terms: 6x + -4x = 2x -7 + 2x = 3x + -29 Reorder the terms: -7 + 2x = -29 + 3x Solving -7 + 2x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 2x + -3x = -29 + 3x + -3x Combine like terms: 2x + -3x = -1x -7 + -1x = -29 + 3x + -3x Combine like terms: 3x + -3x = 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 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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