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Simplifying 4(x + 2) = -6(x + -8) Reorder the terms: 4(2 + x) = -6(x + -8) (2 * 4 + x * 4) = -6(x + -8) (8 + 4x) = -6(x + -8) Reorder the terms: 8 + 4x = -6(-8 + x) 8 + 4x = (-8 * -6 + x * -6) 8 + 4x = (48 + -6x) Solving 8 + 4x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 4x + 6x = 48 + -6x + 6x Combine like terms: 4x + 6x = 10x 8 + 10x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 10x = 48 + 0 8 + 10x = 48 Add '-8' to each side of the equation. 8 + -8 + 10x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 48 + -8 10x = 48 + -8 Combine like terms: 48 + -8 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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