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Simplifying 4(x + 6) + 2x = 8(x + -4) Reorder the terms: 4(6 + x) + 2x = 8(x + -4) (6 * 4 + x * 4) + 2x = 8(x + -4) (24 + 4x) + 2x = 8(x + -4) Combine like terms: 4x + 2x = 6x 24 + 6x = 8(x + -4) Reorder the terms: 24 + 6x = 8(-4 + x) 24 + 6x = (-4 * 8 + x * 8) 24 + 6x = (-32 + 8x) Solving 24 + 6x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 6x + -8x = -32 + 8x + -8x Combine like terms: 6x + -8x = -2x 24 + -2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -2x = -32 + 0 24 + -2x = -32 Add '-24' to each side of the equation. 24 + -24 + -2x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -32 + -24 -2x = -32 + -24 Combine like terms: -32 + -24 = -56 -2x = -56 Divide each side by '-2'. x = 28 Simplifying x = 28
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