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Simplifying 5(3x + -4) = 7(2x + 16) Reorder the terms: 5(-4 + 3x) = 7(2x + 16) (-4 * 5 + 3x * 5) = 7(2x + 16) (-20 + 15x) = 7(2x + 16) Reorder the terms: -20 + 15x = 7(16 + 2x) -20 + 15x = (16 * 7 + 2x * 7) -20 + 15x = (112 + 14x) Solving -20 + 15x = 112 + 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 + 15x + -14x = 112 + 14x + -14x Combine like terms: 15x + -14x = 1x -20 + 1x = 112 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + 1x = 112 + 0 -20 + 1x = 112 Add '20' to each side of the equation. -20 + 20 + 1x = 112 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 112 + 20 1x = 112 + 20 Combine like terms: 112 + 20 = 132 1x = 132 Divide each side by '1'. x = 132 Simplifying x = 132
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