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Simplifying -8x + 14 = -29(4x + -7) Reorder the terms: 14 + -8x = -29(4x + -7) Reorder the terms: 14 + -8x = -29(-7 + 4x) 14 + -8x = (-7 * -29 + 4x * -29) 14 + -8x = (203 + -116x) Solving 14 + -8x = 203 + -116x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '116x' to each side of the equation. 14 + -8x + 116x = 203 + -116x + 116x Combine like terms: -8x + 116x = 108x 14 + 108x = 203 + -116x + 116x Combine like terms: -116x + 116x = 0 14 + 108x = 203 + 0 14 + 108x = 203 Add '-14' to each side of the equation. 14 + -14 + 108x = 203 + -14 Combine like terms: 14 + -14 = 0 0 + 108x = 203 + -14 108x = 203 + -14 Combine like terms: 203 + -14 = 189 108x = 189 Divide each side by '108'. x = 1.75 Simplifying x = 1.75
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