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Simplifying 14(2x + -3) + -5(x + 4) = 2(3x + 5) + 5x Reorder the terms: 14(-3 + 2x) + -5(x + 4) = 2(3x + 5) + 5x (-3 * 14 + 2x * 14) + -5(x + 4) = 2(3x + 5) + 5x (-42 + 28x) + -5(x + 4) = 2(3x + 5) + 5x Reorder the terms: -42 + 28x + -5(4 + x) = 2(3x + 5) + 5x -42 + 28x + (4 * -5 + x * -5) = 2(3x + 5) + 5x -42 + 28x + (-20 + -5x) = 2(3x + 5) + 5x Reorder the terms: -42 + -20 + 28x + -5x = 2(3x + 5) + 5x Combine like terms: -42 + -20 = -62 -62 + 28x + -5x = 2(3x + 5) + 5x Combine like terms: 28x + -5x = 23x -62 + 23x = 2(3x + 5) + 5x Reorder the terms: -62 + 23x = 2(5 + 3x) + 5x -62 + 23x = (5 * 2 + 3x * 2) + 5x -62 + 23x = (10 + 6x) + 5x Combine like terms: 6x + 5x = 11x -62 + 23x = 10 + 11x Solving -62 + 23x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -62 + 23x + -11x = 10 + 11x + -11x Combine like terms: 23x + -11x = 12x -62 + 12x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 -62 + 12x = 10 + 0 -62 + 12x = 10 Add '62' to each side of the equation. -62 + 62 + 12x = 10 + 62 Combine like terms: -62 + 62 = 0 0 + 12x = 10 + 62 12x = 10 + 62 Combine like terms: 10 + 62 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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