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Simplifying 8(2x + 9) = 4(6x + -2) Reorder the terms: 8(9 + 2x) = 4(6x + -2) (9 * 8 + 2x * 8) = 4(6x + -2) (72 + 16x) = 4(6x + -2) Reorder the terms: 72 + 16x = 4(-2 + 6x) 72 + 16x = (-2 * 4 + 6x * 4) 72 + 16x = (-8 + 24x) Solving 72 + 16x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 72 + 16x + -24x = -8 + 24x + -24x Combine like terms: 16x + -24x = -8x 72 + -8x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 72 + -8x = -8 + 0 72 + -8x = -8 Add '-72' to each side of the equation. 72 + -72 + -8x = -8 + -72 Combine like terms: 72 + -72 = 0 0 + -8x = -8 + -72 -8x = -8 + -72 Combine like terms: -8 + -72 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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