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Simplifying 8(x + 1) = 4(6x + -2) Reorder the terms: 8(1 + x) = 4(6x + -2) (1 * 8 + x * 8) = 4(6x + -2) (8 + 8x) = 4(6x + -2) Reorder the terms: 8 + 8x = 4(-2 + 6x) 8 + 8x = (-2 * 4 + 6x * 4) 8 + 8x = (-8 + 24x) Solving 8 + 8x = -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. 8 + 8x + -24x = -8 + 24x + -24x Combine like terms: 8x + -24x = -16x 8 + -16x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 8 + -16x = -8 + 0 8 + -16x = -8 Add '-8' to each side of the equation. 8 + -8 + -16x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = -8 + -8 -16x = -8 + -8 Combine like terms: -8 + -8 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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