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Simplifying 10(2x + -4) + 20 = 5(4x + -3) + 18 + 3x Reorder the terms: 10(-4 + 2x) + 20 = 5(4x + -3) + 18 + 3x (-4 * 10 + 2x * 10) + 20 = 5(4x + -3) + 18 + 3x (-40 + 20x) + 20 = 5(4x + -3) + 18 + 3x Reorder the terms: -40 + 20 + 20x = 5(4x + -3) + 18 + 3x Combine like terms: -40 + 20 = -20 -20 + 20x = 5(4x + -3) + 18 + 3x Reorder the terms: -20 + 20x = 5(-3 + 4x) + 18 + 3x -20 + 20x = (-3 * 5 + 4x * 5) + 18 + 3x -20 + 20x = (-15 + 20x) + 18 + 3x Reorder the terms: -20 + 20x = -15 + 18 + 20x + 3x Combine like terms: -15 + 18 = 3 -20 + 20x = 3 + 20x + 3x Combine like terms: 20x + 3x = 23x -20 + 20x = 3 + 23x Solving -20 + 20x = 3 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -20 + 20x + -23x = 3 + 23x + -23x Combine like terms: 20x + -23x = -3x -20 + -3x = 3 + 23x + -23x Combine like terms: 23x + -23x = 0 -20 + -3x = 3 + 0 -20 + -3x = 3 Add '20' to each side of the equation. -20 + 20 + -3x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 3 + 20 -3x = 3 + 20 Combine like terms: 3 + 20 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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