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Simplifying 4(7x + -1) + 3(2 + -5x) = 4(3x + 5) + -6 Reorder the terms: 4(-1 + 7x) + 3(2 + -5x) = 4(3x + 5) + -6 (-1 * 4 + 7x * 4) + 3(2 + -5x) = 4(3x + 5) + -6 (-4 + 28x) + 3(2 + -5x) = 4(3x + 5) + -6 -4 + 28x + (2 * 3 + -5x * 3) = 4(3x + 5) + -6 -4 + 28x + (6 + -15x) = 4(3x + 5) + -6 Reorder the terms: -4 + 6 + 28x + -15x = 4(3x + 5) + -6 Combine like terms: -4 + 6 = 2 2 + 28x + -15x = 4(3x + 5) + -6 Combine like terms: 28x + -15x = 13x 2 + 13x = 4(3x + 5) + -6 Reorder the terms: 2 + 13x = 4(5 + 3x) + -6 2 + 13x = (5 * 4 + 3x * 4) + -6 2 + 13x = (20 + 12x) + -6 Reorder the terms: 2 + 13x = 20 + -6 + 12x Combine like terms: 20 + -6 = 14 2 + 13x = 14 + 12x Solving 2 + 13x = 14 + 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. 2 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x 2 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + 1x = 14 + 0 2 + 1x = 14 Add '-2' to each side of the equation. 2 + -2 + 1x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 14 + -2 1x = 14 + -2 Combine like terms: 14 + -2 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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