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Simplifying 7(4x + -5) + 5(8 + -3x) = 4(3x + 4) + -2 Reorder the terms: 7(-5 + 4x) + 5(8 + -3x) = 4(3x + 4) + -2 (-5 * 7 + 4x * 7) + 5(8 + -3x) = 4(3x + 4) + -2 (-35 + 28x) + 5(8 + -3x) = 4(3x + 4) + -2 -35 + 28x + (8 * 5 + -3x * 5) = 4(3x + 4) + -2 -35 + 28x + (40 + -15x) = 4(3x + 4) + -2 Reorder the terms: -35 + 40 + 28x + -15x = 4(3x + 4) + -2 Combine like terms: -35 + 40 = 5 5 + 28x + -15x = 4(3x + 4) + -2 Combine like terms: 28x + -15x = 13x 5 + 13x = 4(3x + 4) + -2 Reorder the terms: 5 + 13x = 4(4 + 3x) + -2 5 + 13x = (4 * 4 + 3x * 4) + -2 5 + 13x = (16 + 12x) + -2 Reorder the terms: 5 + 13x = 16 + -2 + 12x Combine like terms: 16 + -2 = 14 5 + 13x = 14 + 12x Solving 5 + 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. 5 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x 5 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + 1x = 14 + 0 5 + 1x = 14 Add '-5' to each side of the equation. 5 + -5 + 1x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 14 + -5 1x = 14 + -5 Combine like terms: 14 + -5 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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