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Simplifying 8(5x + 4) = 6(8x + -2) Reorder the terms: 8(4 + 5x) = 6(8x + -2) (4 * 8 + 5x * 8) = 6(8x + -2) (32 + 40x) = 6(8x + -2) Reorder the terms: 32 + 40x = 6(-2 + 8x) 32 + 40x = (-2 * 6 + 8x * 6) 32 + 40x = (-12 + 48x) Solving 32 + 40x = -12 + 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. 32 + 40x + -48x = -12 + 48x + -48x Combine like terms: 40x + -48x = -8x 32 + -8x = -12 + 48x + -48x Combine like terms: 48x + -48x = 0 32 + -8x = -12 + 0 32 + -8x = -12 Add '-32' to each side of the equation. 32 + -32 + -8x = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = -12 + -32 -8x = -12 + -32 Combine like terms: -12 + -32 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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