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Simplifying 5(3x + -4) = 7(12 + -1x) Reorder the terms: 5(-4 + 3x) = 7(12 + -1x) (-4 * 5 + 3x * 5) = 7(12 + -1x) (-20 + 15x) = 7(12 + -1x) -20 + 15x = (12 * 7 + -1x * 7) -20 + 15x = (84 + -7x) Solving -20 + 15x = 84 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 15x + 7x = 84 + -7x + 7x Combine like terms: 15x + 7x = 22x -20 + 22x = 84 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 22x = 84 + 0 -20 + 22x = 84 Add '20' to each side of the equation. -20 + 20 + 22x = 84 + 20 Combine like terms: -20 + 20 = 0 0 + 22x = 84 + 20 22x = 84 + 20 Combine like terms: 84 + 20 = 104 22x = 104 Divide each side by '22'. x = 4.727272727 Simplifying x = 4.727272727
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