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Simplifying 2x + -5(2x + -4) = 6 + -3x + -19 Reorder the terms: 2x + -5(-4 + 2x) = 6 + -3x + -19 2x + (-4 * -5 + 2x * -5) = 6 + -3x + -19 2x + (20 + -10x) = 6 + -3x + -19 Reorder the terms: 20 + 2x + -10x = 6 + -3x + -19 Combine like terms: 2x + -10x = -8x 20 + -8x = 6 + -3x + -19 Reorder the terms: 20 + -8x = 6 + -19 + -3x Combine like terms: 6 + -19 = -13 20 + -8x = -13 + -3x Solving 20 + -8x = -13 + -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. 20 + -8x + 3x = -13 + -3x + 3x Combine like terms: -8x + 3x = -5x 20 + -5x = -13 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + -5x = -13 + 0 20 + -5x = -13 Add '-20' to each side of the equation. 20 + -20 + -5x = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -13 + -20 -5x = -13 + -20 Combine like terms: -13 + -20 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6
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