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Simplifying 4(x + 1) = 8(x + -2) + -12 Reorder the terms: 4(1 + x) = 8(x + -2) + -12 (1 * 4 + x * 4) = 8(x + -2) + -12 (4 + 4x) = 8(x + -2) + -12 Reorder the terms: 4 + 4x = 8(-2 + x) + -12 4 + 4x = (-2 * 8 + x * 8) + -12 4 + 4x = (-16 + 8x) + -12 Reorder the terms: 4 + 4x = -16 + -12 + 8x Combine like terms: -16 + -12 = -28 4 + 4x = -28 + 8x Solving 4 + 4x = -28 + 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. 4 + 4x + -8x = -28 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = -28 + 0 4 + -4x = -28 Add '-4' to each side of the equation. 4 + -4 + -4x = -28 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -28 + -4 -4x = -28 + -4 Combine like terms: -28 + -4 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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