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Simplifying 8(x + 10) = 2(6x + -4) Reorder the terms: 8(10 + x) = 2(6x + -4) (10 * 8 + x * 8) = 2(6x + -4) (80 + 8x) = 2(6x + -4) Reorder the terms: 80 + 8x = 2(-4 + 6x) 80 + 8x = (-4 * 2 + 6x * 2) 80 + 8x = (-8 + 12x) Solving 80 + 8x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 80 + 8x + -12x = -8 + 12x + -12x Combine like terms: 8x + -12x = -4x 80 + -4x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 80 + -4x = -8 + 0 80 + -4x = -8 Add '-80' to each side of the equation. 80 + -80 + -4x = -8 + -80 Combine like terms: 80 + -80 = 0 0 + -4x = -8 + -80 -4x = -8 + -80 Combine like terms: -8 + -80 = -88 -4x = -88 Divide each side by '-4'. x = 22 Simplifying x = 22
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