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Simplifying 8(4x + 7) = 8(6x + -3) Reorder the terms: 8(7 + 4x) = 8(6x + -3) (7 * 8 + 4x * 8) = 8(6x + -3) (56 + 32x) = 8(6x + -3) Reorder the terms: 56 + 32x = 8(-3 + 6x) 56 + 32x = (-3 * 8 + 6x * 8) 56 + 32x = (-24 + 48x) Solving 56 + 32x = -24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 56 + 32x + -48x = -24 + 48x + -48x Combine like terms: 32x + -48x = -16x 56 + -16x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 56 + -16x = -24 + 0 56 + -16x = -24 Add '-56' to each side of the equation. 56 + -56 + -16x = -24 + -56 Combine like terms: 56 + -56 = 0 0 + -16x = -24 + -56 -16x = -24 + -56 Combine like terms: -24 + -56 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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