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Simplifying 4(x + -1) = 2x + 8 + -2(-7x + -2) Reorder the terms: 4(-1 + x) = 2x + 8 + -2(-7x + -2) (-1 * 4 + x * 4) = 2x + 8 + -2(-7x + -2) (-4 + 4x) = 2x + 8 + -2(-7x + -2) Reorder the terms: -4 + 4x = 2x + 8 + -2(-2 + -7x) -4 + 4x = 2x + 8 + (-2 * -2 + -7x * -2) -4 + 4x = 2x + 8 + (4 + 14x) Reorder the terms: -4 + 4x = 8 + 4 + 2x + 14x Combine like terms: 8 + 4 = 12 -4 + 4x = 12 + 2x + 14x Combine like terms: 2x + 14x = 16x -4 + 4x = 12 + 16x Solving -4 + 4x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -4 + 4x + -16x = 12 + 16x + -16x Combine like terms: 4x + -16x = -12x -4 + -12x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + -12x = 12 + 0 -4 + -12x = 12 Add '4' to each side of the equation. -4 + 4 + -12x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 12 + 4 -12x = 12 + 4 Combine like terms: 12 + 4 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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