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Simplifying 2(3x + -4) + 5x = 6(3x + -5) + 20 Reorder the terms: 2(-4 + 3x) + 5x = 6(3x + -5) + 20 (-4 * 2 + 3x * 2) + 5x = 6(3x + -5) + 20 (-8 + 6x) + 5x = 6(3x + -5) + 20 Combine like terms: 6x + 5x = 11x -8 + 11x = 6(3x + -5) + 20 Reorder the terms: -8 + 11x = 6(-5 + 3x) + 20 -8 + 11x = (-5 * 6 + 3x * 6) + 20 -8 + 11x = (-30 + 18x) + 20 Reorder the terms: -8 + 11x = -30 + 20 + 18x Combine like terms: -30 + 20 = -10 -8 + 11x = -10 + 18x Solving -8 + 11x = -10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -8 + 11x + -18x = -10 + 18x + -18x Combine like terms: 11x + -18x = -7x -8 + -7x = -10 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + -7x = -10 + 0 -8 + -7x = -10 Add '8' to each side of the equation. -8 + 8 + -7x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -10 + 8 -7x = -10 + 8 Combine like terms: -10 + 8 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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