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Simplifying 6(2x + 8) = -10x + 4 Reorder the terms: 6(8 + 2x) = -10x + 4 (8 * 6 + 2x * 6) = -10x + 4 (48 + 12x) = -10x + 4 Reorder the terms: 48 + 12x = 4 + -10x Solving 48 + 12x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 48 + 12x + 10x = 4 + -10x + 10x Combine like terms: 12x + 10x = 22x 48 + 22x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 48 + 22x = 4 + 0 48 + 22x = 4 Add '-48' to each side of the equation. 48 + -48 + 22x = 4 + -48 Combine like terms: 48 + -48 = 0 0 + 22x = 4 + -48 22x = 4 + -48 Combine like terms: 4 + -48 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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