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Simplifying 4(6x + 8) = 6(8x + -2) + -2 Reorder the terms: 4(8 + 6x) = 6(8x + -2) + -2 (8 * 4 + 6x * 4) = 6(8x + -2) + -2 (32 + 24x) = 6(8x + -2) + -2 Reorder the terms: 32 + 24x = 6(-2 + 8x) + -2 32 + 24x = (-2 * 6 + 8x * 6) + -2 32 + 24x = (-12 + 48x) + -2 Reorder the terms: 32 + 24x = -12 + -2 + 48x Combine like terms: -12 + -2 = -14 32 + 24x = -14 + 48x Solving 32 + 24x = -14 + 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 + 24x + -48x = -14 + 48x + -48x Combine like terms: 24x + -48x = -24x 32 + -24x = -14 + 48x + -48x Combine like terms: 48x + -48x = 0 32 + -24x = -14 + 0 32 + -24x = -14 Add '-32' to each side of the equation. 32 + -32 + -24x = -14 + -32 Combine like terms: 32 + -32 = 0 0 + -24x = -14 + -32 -24x = -14 + -32 Combine like terms: -14 + -32 = -46 -24x = -46 Divide each side by '-24'. x = 1.916666667 Simplifying x = 1.916666667
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