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Simplifying 4(x + 2) = 8(x + -1) + 12 Reorder the terms: 4(2 + x) = 8(x + -1) + 12 (2 * 4 + x * 4) = 8(x + -1) + 12 (8 + 4x) = 8(x + -1) + 12 Reorder the terms: 8 + 4x = 8(-1 + x) + 12 8 + 4x = (-1 * 8 + x * 8) + 12 8 + 4x = (-8 + 8x) + 12 Reorder the terms: 8 + 4x = -8 + 12 + 8x Combine like terms: -8 + 12 = 4 8 + 4x = 4 + 8x Solving 8 + 4x = 4 + 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. 8 + 4x + -8x = 4 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = 4 + 0 8 + -4x = 4 Add '-8' to each side of the equation. 8 + -8 + -4x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 4 + -8 -4x = 4 + -8 Combine like terms: 4 + -8 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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