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Simplifying -4x + -6x + 8 = -3x + -5(1 + -1x) Reorder the terms: 8 + -4x + -6x = -3x + -5(1 + -1x) Combine like terms: -4x + -6x = -10x 8 + -10x = -3x + -5(1 + -1x) 8 + -10x = -3x + (1 * -5 + -1x * -5) 8 + -10x = -3x + (-5 + 5x) Reorder the terms: 8 + -10x = -5 + -3x + 5x Combine like terms: -3x + 5x = 2x 8 + -10x = -5 + 2x Solving 8 + -10x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -10x + -2x = -5 + 2x + -2x Combine like terms: -10x + -2x = -12x 8 + -12x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -12x = -5 + 0 8 + -12x = -5 Add '-8' to each side of the equation. 8 + -8 + -12x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -5 + -8 -12x = -5 + -8 Combine like terms: -5 + -8 = -13 -12x = -13 Divide each side by '-12'. x = 1.083333333 Simplifying x = 1.083333333
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