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Simplifying 2(3x + -12) + -6(5x + -37) = 10(2x + 4) Reorder the terms: 2(-12 + 3x) + -6(5x + -37) = 10(2x + 4) (-12 * 2 + 3x * 2) + -6(5x + -37) = 10(2x + 4) (-24 + 6x) + -6(5x + -37) = 10(2x + 4) Reorder the terms: -24 + 6x + -6(-37 + 5x) = 10(2x + 4) -24 + 6x + (-37 * -6 + 5x * -6) = 10(2x + 4) -24 + 6x + (222 + -30x) = 10(2x + 4) Reorder the terms: -24 + 222 + 6x + -30x = 10(2x + 4) Combine like terms: -24 + 222 = 198 198 + 6x + -30x = 10(2x + 4) Combine like terms: 6x + -30x = -24x 198 + -24x = 10(2x + 4) Reorder the terms: 198 + -24x = 10(4 + 2x) 198 + -24x = (4 * 10 + 2x * 10) 198 + -24x = (40 + 20x) Solving 198 + -24x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 198 + -24x + -20x = 40 + 20x + -20x Combine like terms: -24x + -20x = -44x 198 + -44x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 198 + -44x = 40 + 0 198 + -44x = 40 Add '-198' to each side of the equation. 198 + -198 + -44x = 40 + -198 Combine like terms: 198 + -198 = 0 0 + -44x = 40 + -198 -44x = 40 + -198 Combine like terms: 40 + -198 = -158 -44x = -158 Divide each side by '-44'. x = 3.590909091 Simplifying x = 3.590909091
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