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Simplifying 5(2x + -4) + 3x = 7(2x + -5) + 8 Reorder the terms: 5(-4 + 2x) + 3x = 7(2x + -5) + 8 (-4 * 5 + 2x * 5) + 3x = 7(2x + -5) + 8 (-20 + 10x) + 3x = 7(2x + -5) + 8 Combine like terms: 10x + 3x = 13x -20 + 13x = 7(2x + -5) + 8 Reorder the terms: -20 + 13x = 7(-5 + 2x) + 8 -20 + 13x = (-5 * 7 + 2x * 7) + 8 -20 + 13x = (-35 + 14x) + 8 Reorder the terms: -20 + 13x = -35 + 8 + 14x Combine like terms: -35 + 8 = -27 -20 + 13x = -27 + 14x Solving -20 + 13x = -27 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 13x + -14x = -27 + 14x + -14x Combine like terms: 13x + -14x = -1x -20 + -1x = -27 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -1x = -27 + 0 -20 + -1x = -27 Add '20' to each side of the equation. -20 + 20 + -1x = -27 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -27 + 20 -1x = -27 + 20 Combine like terms: -27 + 20 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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