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Simplifying 4(x + -1) = 6x + 4 + -2(-5x + -1) Reorder the terms: 4(-1 + x) = 6x + 4 + -2(-5x + -1) (-1 * 4 + x * 4) = 6x + 4 + -2(-5x + -1) (-4 + 4x) = 6x + 4 + -2(-5x + -1) Reorder the terms: -4 + 4x = 6x + 4 + -2(-1 + -5x) -4 + 4x = 6x + 4 + (-1 * -2 + -5x * -2) -4 + 4x = 6x + 4 + (2 + 10x) Reorder the terms: -4 + 4x = 4 + 2 + 6x + 10x Combine like terms: 4 + 2 = 6 -4 + 4x = 6 + 6x + 10x Combine like terms: 6x + 10x = 16x -4 + 4x = 6 + 16x Solving -4 + 4x = 6 + 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 = 6 + 16x + -16x Combine like terms: 4x + -16x = -12x -4 + -12x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + -12x = 6 + 0 -4 + -12x = 6 Add '4' to each side of the equation. -4 + 4 + -12x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 6 + 4 -12x = 6 + 4 Combine like terms: 6 + 4 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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