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Simplifying 1(x + 4) + x + -4(x + -4) = x + 8 Reorder the terms: 1(4 + x) + x + -4(x + -4) = x + 8 (4 * 1 + x * 1) + x + -4(x + -4) = x + 8 (4 + 1x) + x + -4(x + -4) = x + 8 Reorder the terms: 4 + 1x + x + -4(-4 + x) = x + 8 4 + 1x + x + (-4 * -4 + x * -4) = x + 8 4 + 1x + x + (16 + -4x) = x + 8 Reorder the terms: 4 + 16 + 1x + x + -4x = x + 8 Combine like terms: 4 + 16 = 20 20 + 1x + x + -4x = x + 8 Combine like terms: 1x + x = 2x 20 + 2x + -4x = x + 8 Combine like terms: 2x + -4x = -2x 20 + -2x = x + 8 Reorder the terms: 20 + -2x = 8 + x Solving 20 + -2x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + -2x + -1x = 8 + x + -1x Combine like terms: -2x + -1x = -3x 20 + -3x = 8 + x + -1x Combine like terms: x + -1x = 0 20 + -3x = 8 + 0 20 + -3x = 8 Add '-20' to each side of the equation. 20 + -20 + -3x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 8 + -20 -3x = 8 + -20 Combine like terms: 8 + -20 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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