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Simplifying 5(6x + -3) + 5(16 + -4x) = 3(3x + 4) + -4 Reorder the terms: 5(-3 + 6x) + 5(16 + -4x) = 3(3x + 4) + -4 (-3 * 5 + 6x * 5) + 5(16 + -4x) = 3(3x + 4) + -4 (-15 + 30x) + 5(16 + -4x) = 3(3x + 4) + -4 -15 + 30x + (16 * 5 + -4x * 5) = 3(3x + 4) + -4 -15 + 30x + (80 + -20x) = 3(3x + 4) + -4 Reorder the terms: -15 + 80 + 30x + -20x = 3(3x + 4) + -4 Combine like terms: -15 + 80 = 65 65 + 30x + -20x = 3(3x + 4) + -4 Combine like terms: 30x + -20x = 10x 65 + 10x = 3(3x + 4) + -4 Reorder the terms: 65 + 10x = 3(4 + 3x) + -4 65 + 10x = (4 * 3 + 3x * 3) + -4 65 + 10x = (12 + 9x) + -4 Reorder the terms: 65 + 10x = 12 + -4 + 9x Combine like terms: 12 + -4 = 8 65 + 10x = 8 + 9x Solving 65 + 10x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 65 + 10x + -9x = 8 + 9x + -9x Combine like terms: 10x + -9x = 1x 65 + 1x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 65 + 1x = 8 + 0 65 + 1x = 8 Add '-65' to each side of the equation. 65 + -65 + 1x = 8 + -65 Combine like terms: 65 + -65 = 0 0 + 1x = 8 + -65 1x = 8 + -65 Combine like terms: 8 + -65 = -57 1x = -57 Divide each side by '1'. x = -57 Simplifying x = -57
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