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Simplifying 4(3x + -2) + 2(2x + 2) = 3x + -5 Reorder the terms: 4(-2 + 3x) + 2(2x + 2) = 3x + -5 (-2 * 4 + 3x * 4) + 2(2x + 2) = 3x + -5 (-8 + 12x) + 2(2x + 2) = 3x + -5 Reorder the terms: -8 + 12x + 2(2 + 2x) = 3x + -5 -8 + 12x + (2 * 2 + 2x * 2) = 3x + -5 -8 + 12x + (4 + 4x) = 3x + -5 Reorder the terms: -8 + 4 + 12x + 4x = 3x + -5 Combine like terms: -8 + 4 = -4 -4 + 12x + 4x = 3x + -5 Combine like terms: 12x + 4x = 16x -4 + 16x = 3x + -5 Reorder the terms: -4 + 16x = -5 + 3x Solving -4 + 16x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 16x + -3x = -5 + 3x + -3x Combine like terms: 16x + -3x = 13x -4 + 13x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 13x = -5 + 0 -4 + 13x = -5 Add '4' to each side of the equation. -4 + 4 + 13x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = -5 + 4 13x = -5 + 4 Combine like terms: -5 + 4 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692
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