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