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Simplifying 4(7x + -2) + -5(3x + -4) = 3(4x + 5) + -9 Reorder the terms: 4(-2 + 7x) + -5(3x + -4) = 3(4x + 5) + -9 (-2 * 4 + 7x * 4) + -5(3x + -4) = 3(4x + 5) + -9 (-8 + 28x) + -5(3x + -4) = 3(4x + 5) + -9 Reorder the terms: -8 + 28x + -5(-4 + 3x) = 3(4x + 5) + -9 -8 + 28x + (-4 * -5 + 3x * -5) = 3(4x + 5) + -9 -8 + 28x + (20 + -15x) = 3(4x + 5) + -9 Reorder the terms: -8 + 20 + 28x + -15x = 3(4x + 5) + -9 Combine like terms: -8 + 20 = 12 12 + 28x + -15x = 3(4x + 5) + -9 Combine like terms: 28x + -15x = 13x 12 + 13x = 3(4x + 5) + -9 Reorder the terms: 12 + 13x = 3(5 + 4x) + -9 12 + 13x = (5 * 3 + 4x * 3) + -9 12 + 13x = (15 + 12x) + -9 Reorder the terms: 12 + 13x = 15 + -9 + 12x Combine like terms: 15 + -9 = 6 12 + 13x = 6 + 12x Solving 12 + 13x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x 12 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + 1x = 6 + 0 12 + 1x = 6 Add '-12' to each side of the equation. 12 + -12 + 1x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 6 + -12 1x = 6 + -12 Combine like terms: 6 + -12 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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