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Simplifying 14(2x + -3) + -60x = 5(15 + -9x) Reorder the terms: 14(-3 + 2x) + -60x = 5(15 + -9x) (-3 * 14 + 2x * 14) + -60x = 5(15 + -9x) (-42 + 28x) + -60x = 5(15 + -9x) Combine like terms: 28x + -60x = -32x -42 + -32x = 5(15 + -9x) -42 + -32x = (15 * 5 + -9x * 5) -42 + -32x = (75 + -45x) Solving -42 + -32x = 75 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -42 + -32x + 45x = 75 + -45x + 45x Combine like terms: -32x + 45x = 13x -42 + 13x = 75 + -45x + 45x Combine like terms: -45x + 45x = 0 -42 + 13x = 75 + 0 -42 + 13x = 75 Add '42' to each side of the equation. -42 + 42 + 13x = 75 + 42 Combine like terms: -42 + 42 = 0 0 + 13x = 75 + 42 13x = 75 + 42 Combine like terms: 75 + 42 = 117 13x = 117 Divide each side by '13'. x = 9 Simplifying x = 9
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