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Simplifying 3x + -2(4x + 6) = 5(2x + -3) + 4 Reorder the terms: 3x + -2(6 + 4x) = 5(2x + -3) + 4 3x + (6 * -2 + 4x * -2) = 5(2x + -3) + 4 3x + (-12 + -8x) = 5(2x + -3) + 4 Reorder the terms: -12 + 3x + -8x = 5(2x + -3) + 4 Combine like terms: 3x + -8x = -5x -12 + -5x = 5(2x + -3) + 4 Reorder the terms: -12 + -5x = 5(-3 + 2x) + 4 -12 + -5x = (-3 * 5 + 2x * 5) + 4 -12 + -5x = (-15 + 10x) + 4 Reorder the terms: -12 + -5x = -15 + 4 + 10x Combine like terms: -15 + 4 = -11 -12 + -5x = -11 + 10x Solving -12 + -5x = -11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + -5x + -10x = -11 + 10x + -10x Combine like terms: -5x + -10x = -15x -12 + -15x = -11 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -15x = -11 + 0 -12 + -15x = -11 Add '12' to each side of the equation. -12 + 12 + -15x = -11 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = -11 + 12 -15x = -11 + 12 Combine like terms: -11 + 12 = 1 -15x = 1 Divide each side by '-15'. x = -0.06666666667 Simplifying x = -0.06666666667
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