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Simplifying 1 + -4(x + 2) = 8 + x Reorder the terms: 1 + -4(2 + x) = 8 + x 1 + (2 * -4 + x * -4) = 8 + x 1 + (-8 + -4x) = 8 + x Combine like terms: 1 + -8 = -7 -7 + -4x = 8 + x Solving -7 + -4x = 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. -7 + -4x + -1x = 8 + x + -1x Combine like terms: -4x + -1x = -5x -7 + -5x = 8 + x + -1x Combine like terms: x + -1x = 0 -7 + -5x = 8 + 0 -7 + -5x = 8 Add '7' to each side of the equation. -7 + 7 + -5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 8 + 7 -5x = 8 + 7 Combine like terms: 8 + 7 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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