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Simplifying 1(x + -4) = 4(x + 1) Reorder the terms: 1(-4 + x) = 4(x + 1) (-4 * 1 + x * 1) = 4(x + 1) (-4 + 1x) = 4(x + 1) Reorder the terms: -4 + 1x = 4(1 + x) -4 + 1x = (1 * 4 + x * 4) -4 + 1x = (4 + 4x) Solving -4 + 1x = 4 + 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 + 1x + -4x = 4 + 4x + -4x Combine like terms: 1x + -4x = -3x -4 + -3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -3x = 4 + 0 -4 + -3x = 4 Add '4' to each side of the equation. -4 + 4 + -3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 4 + 4 -3x = 4 + 4 Combine like terms: 4 + 4 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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