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Simplifying -6(4x + -33) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37) Reorder the terms: -6(-33 + 4x) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37) (-33 * -6 + 4x * -6) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37) (198 + -24x) + 3(7x + 16) = 10(2x + 4) + 2(6x + -37) Reorder the terms: 198 + -24x + 3(16 + 7x) = 10(2x + 4) + 2(6x + -37) 198 + -24x + (16 * 3 + 7x * 3) = 10(2x + 4) + 2(6x + -37) 198 + -24x + (48 + 21x) = 10(2x + 4) + 2(6x + -37) Reorder the terms: 198 + 48 + -24x + 21x = 10(2x + 4) + 2(6x + -37) Combine like terms: 198 + 48 = 246 246 + -24x + 21x = 10(2x + 4) + 2(6x + -37) Combine like terms: -24x + 21x = -3x 246 + -3x = 10(2x + 4) + 2(6x + -37) Reorder the terms: 246 + -3x = 10(4 + 2x) + 2(6x + -37) 246 + -3x = (4 * 10 + 2x * 10) + 2(6x + -37) 246 + -3x = (40 + 20x) + 2(6x + -37) Reorder the terms: 246 + -3x = 40 + 20x + 2(-37 + 6x) 246 + -3x = 40 + 20x + (-37 * 2 + 6x * 2) 246 + -3x = 40 + 20x + (-74 + 12x) Reorder the terms: 246 + -3x = 40 + -74 + 20x + 12x Combine like terms: 40 + -74 = -34 246 + -3x = -34 + 20x + 12x Combine like terms: 20x + 12x = 32x 246 + -3x = -34 + 32x Solving 246 + -3x = -34 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 246 + -3x + -32x = -34 + 32x + -32x Combine like terms: -3x + -32x = -35x 246 + -35x = -34 + 32x + -32x Combine like terms: 32x + -32x = 0 246 + -35x = -34 + 0 246 + -35x = -34 Add '-246' to each side of the equation. 246 + -246 + -35x = -34 + -246 Combine like terms: 246 + -246 = 0 0 + -35x = -34 + -246 -35x = -34 + -246 Combine like terms: -34 + -246 = -280 -35x = -280 Divide each side by '-35'. x = 8 Simplifying x = 8
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