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Simplifying 4 = -4(x + -1) + 8(x + -3) Reorder the terms: 4 = -4(-1 + x) + 8(x + -3) 4 = (-1 * -4 + x * -4) + 8(x + -3) 4 = (4 + -4x) + 8(x + -3) Reorder the terms: 4 = 4 + -4x + 8(-3 + x) 4 = 4 + -4x + (-3 * 8 + x * 8) 4 = 4 + -4x + (-24 + 8x) Reorder the terms: 4 = 4 + -24 + -4x + 8x Combine like terms: 4 + -24 = -20 4 = -20 + -4x + 8x Combine like terms: -4x + 8x = 4x 4 = -20 + 4x Solving 4 = -20 + 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. 4 + -4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = -20 + 0 4 + -4x = -20 Add '-4' to each side of the equation. 4 + -4 + -4x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -20 + -4 -4x = -20 + -4 Combine like terms: -20 + -4 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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