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Simplifying 4x + 4 + -2(-5x + -3) = 2(x + -2) Reorder the terms: 4x + 4 + -2(-3 + -5x) = 2(x + -2) 4x + 4 + (-3 * -2 + -5x * -2) = 2(x + -2) 4x + 4 + (6 + 10x) = 2(x + -2) Reorder the terms: 4 + 6 + 4x + 10x = 2(x + -2) Combine like terms: 4 + 6 = 10 10 + 4x + 10x = 2(x + -2) Combine like terms: 4x + 10x = 14x 10 + 14x = 2(x + -2) Reorder the terms: 10 + 14x = 2(-2 + x) 10 + 14x = (-2 * 2 + x * 2) 10 + 14x = (-4 + 2x) Solving 10 + 14x = -4 + 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. 10 + 14x + -2x = -4 + 2x + -2x Combine like terms: 14x + -2x = 12x 10 + 12x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 12x = -4 + 0 10 + 12x = -4 Add '-10' to each side of the equation. 10 + -10 + 12x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = -4 + -10 12x = -4 + -10 Combine like terms: -4 + -10 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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