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Simplifying 4(x + 3) = 8(x + -1) + -8 Reorder the terms: 4(3 + x) = 8(x + -1) + -8 (3 * 4 + x * 4) = 8(x + -1) + -8 (12 + 4x) = 8(x + -1) + -8 Reorder the terms: 12 + 4x = 8(-1 + x) + -8 12 + 4x = (-1 * 8 + x * 8) + -8 12 + 4x = (-8 + 8x) + -8 Reorder the terms: 12 + 4x = -8 + -8 + 8x Combine like terms: -8 + -8 = -16 12 + 4x = -16 + 8x Solving 12 + 4x = -16 + 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. 12 + 4x + -8x = -16 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = -16 + 0 12 + -4x = -16 Add '-12' to each side of the equation. 12 + -12 + -4x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -16 + -12 -4x = -16 + -12 Combine like terms: -16 + -12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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