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Simplifying 5(2x + -1) + 3 = 9(3x + -15) + 14 Reorder the terms: 5(-1 + 2x) + 3 = 9(3x + -15) + 14 (-1 * 5 + 2x * 5) + 3 = 9(3x + -15) + 14 (-5 + 10x) + 3 = 9(3x + -15) + 14 Reorder the terms: -5 + 3 + 10x = 9(3x + -15) + 14 Combine like terms: -5 + 3 = -2 -2 + 10x = 9(3x + -15) + 14 Reorder the terms: -2 + 10x = 9(-15 + 3x) + 14 -2 + 10x = (-15 * 9 + 3x * 9) + 14 -2 + 10x = (-135 + 27x) + 14 Reorder the terms: -2 + 10x = -135 + 14 + 27x Combine like terms: -135 + 14 = -121 -2 + 10x = -121 + 27x Solving -2 + 10x = -121 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -2 + 10x + -27x = -121 + 27x + -27x Combine like terms: 10x + -27x = -17x -2 + -17x = -121 + 27x + -27x Combine like terms: 27x + -27x = 0 -2 + -17x = -121 + 0 -2 + -17x = -121 Add '2' to each side of the equation. -2 + 2 + -17x = -121 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = -121 + 2 -17x = -121 + 2 Combine like terms: -121 + 2 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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