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Simplifying 4(5x + -3) + -2(2x + -9) = 3(5x + 4) + -8 Reorder the terms: 4(-3 + 5x) + -2(2x + -9) = 3(5x + 4) + -8 (-3 * 4 + 5x * 4) + -2(2x + -9) = 3(5x + 4) + -8 (-12 + 20x) + -2(2x + -9) = 3(5x + 4) + -8 Reorder the terms: -12 + 20x + -2(-9 + 2x) = 3(5x + 4) + -8 -12 + 20x + (-9 * -2 + 2x * -2) = 3(5x + 4) + -8 -12 + 20x + (18 + -4x) = 3(5x + 4) + -8 Reorder the terms: -12 + 18 + 20x + -4x = 3(5x + 4) + -8 Combine like terms: -12 + 18 = 6 6 + 20x + -4x = 3(5x + 4) + -8 Combine like terms: 20x + -4x = 16x 6 + 16x = 3(5x + 4) + -8 Reorder the terms: 6 + 16x = 3(4 + 5x) + -8 6 + 16x = (4 * 3 + 5x * 3) + -8 6 + 16x = (12 + 15x) + -8 Reorder the terms: 6 + 16x = 12 + -8 + 15x Combine like terms: 12 + -8 = 4 6 + 16x = 4 + 15x Solving 6 + 16x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 16x + -15x = 4 + 15x + -15x Combine like terms: 16x + -15x = 1x 6 + 1x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + 1x = 4 + 0 6 + 1x = 4 Add '-6' to each side of the equation. 6 + -6 + 1x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 4 + -6 1x = 4 + -6 Combine like terms: 4 + -6 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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