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Simplifying 4(x + -1) + -8(x + 1) = 4(x + 3) Reorder the terms: 4(-1 + x) + -8(x + 1) = 4(x + 3) (-1 * 4 + x * 4) + -8(x + 1) = 4(x + 3) (-4 + 4x) + -8(x + 1) = 4(x + 3) Reorder the terms: -4 + 4x + -8(1 + x) = 4(x + 3) -4 + 4x + (1 * -8 + x * -8) = 4(x + 3) -4 + 4x + (-8 + -8x) = 4(x + 3) Reorder the terms: -4 + -8 + 4x + -8x = 4(x + 3) Combine like terms: -4 + -8 = -12 -12 + 4x + -8x = 4(x + 3) Combine like terms: 4x + -8x = -4x -12 + -4x = 4(x + 3) Reorder the terms: -12 + -4x = 4(3 + x) -12 + -4x = (3 * 4 + x * 4) -12 + -4x = (12 + 4x) Solving -12 + -4x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -4x + -4x = 12 + 4x + -4x Combine like terms: -4x + -4x = -8x -12 + -8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -8x = 12 + 0 -12 + -8x = 12 Add '12' to each side of the equation. -12 + 12 + -8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 12 + 12 -8x = 12 + 12 Combine like terms: 12 + 12 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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