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Simplifying 3x + -2(2x + 5) = -4(3 + -1x) + 6 Reorder the terms: 3x + -2(5 + 2x) = -4(3 + -1x) + 6 3x + (5 * -2 + 2x * -2) = -4(3 + -1x) + 6 3x + (-10 + -4x) = -4(3 + -1x) + 6 Reorder the terms: -10 + 3x + -4x = -4(3 + -1x) + 6 Combine like terms: 3x + -4x = -1x -10 + -1x = -4(3 + -1x) + 6 -10 + -1x = (3 * -4 + -1x * -4) + 6 -10 + -1x = (-12 + 4x) + 6 Reorder the terms: -10 + -1x = -12 + 6 + 4x Combine like terms: -12 + 6 = -6 -10 + -1x = -6 + 4x Solving -10 + -1x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x -10 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -5x = -6 + 0 -10 + -5x = -6 Add '10' to each side of the equation. -10 + 10 + -5x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -6 + 10 -5x = -6 + 10 Combine like terms: -6 + 10 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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