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Simplifying 8(5x + 7) = 8(6x + -2) Reorder the terms: 8(7 + 5x) = 8(6x + -2) (7 * 8 + 5x * 8) = 8(6x + -2) (56 + 40x) = 8(6x + -2) Reorder the terms: 56 + 40x = 8(-2 + 6x) 56 + 40x = (-2 * 8 + 6x * 8) 56 + 40x = (-16 + 48x) Solving 56 + 40x = -16 + 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 + 40x + -48x = -16 + 48x + -48x Combine like terms: 40x + -48x = -8x 56 + -8x = -16 + 48x + -48x Combine like terms: 48x + -48x = 0 56 + -8x = -16 + 0 56 + -8x = -16 Add '-56' to each side of the equation. 56 + -56 + -8x = -16 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = -16 + -56 -8x = -16 + -56 Combine like terms: -16 + -56 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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