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Simplifying 8(4x + 6) = (x + -7) Reorder the terms: 8(6 + 4x) = (x + -7) (6 * 8 + 4x * 8) = (x + -7) (48 + 32x) = (x + -7) Reorder the terms: 48 + 32x = (-7 + x) Remove parenthesis around (-7 + x) 48 + 32x = -7 + x Solving 48 + 32x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 48 + 32x + -1x = -7 + x + -1x Combine like terms: 32x + -1x = 31x 48 + 31x = -7 + x + -1x Combine like terms: x + -1x = 0 48 + 31x = -7 + 0 48 + 31x = -7 Add '-48' to each side of the equation. 48 + -48 + 31x = -7 + -48 Combine like terms: 48 + -48 = 0 0 + 31x = -7 + -48 31x = -7 + -48 Combine like terms: -7 + -48 = -55 31x = -55 Divide each side by '31'. x = -1.774193548 Simplifying x = -1.774193548
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