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Simplifying 5(x + -4) + 8(3x + 2) = 6(x + 4) + 5(x + 10) Reorder the terms: 5(-4 + x) + 8(3x + 2) = 6(x + 4) + 5(x + 10) (-4 * 5 + x * 5) + 8(3x + 2) = 6(x + 4) + 5(x + 10) (-20 + 5x) + 8(3x + 2) = 6(x + 4) + 5(x + 10) Reorder the terms: -20 + 5x + 8(2 + 3x) = 6(x + 4) + 5(x + 10) -20 + 5x + (2 * 8 + 3x * 8) = 6(x + 4) + 5(x + 10) -20 + 5x + (16 + 24x) = 6(x + 4) + 5(x + 10) Reorder the terms: -20 + 16 + 5x + 24x = 6(x + 4) + 5(x + 10) Combine like terms: -20 + 16 = -4 -4 + 5x + 24x = 6(x + 4) + 5(x + 10) Combine like terms: 5x + 24x = 29x -4 + 29x = 6(x + 4) + 5(x + 10) Reorder the terms: -4 + 29x = 6(4 + x) + 5(x + 10) -4 + 29x = (4 * 6 + x * 6) + 5(x + 10) -4 + 29x = (24 + 6x) + 5(x + 10) Reorder the terms: -4 + 29x = 24 + 6x + 5(10 + x) -4 + 29x = 24 + 6x + (10 * 5 + x * 5) -4 + 29x = 24 + 6x + (50 + 5x) Reorder the terms: -4 + 29x = 24 + 50 + 6x + 5x Combine like terms: 24 + 50 = 74 -4 + 29x = 74 + 6x + 5x Combine like terms: 6x + 5x = 11x -4 + 29x = 74 + 11x Solving -4 + 29x = 74 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + 29x + -11x = 74 + 11x + -11x Combine like terms: 29x + -11x = 18x -4 + 18x = 74 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + 18x = 74 + 0 -4 + 18x = 74 Add '4' to each side of the equation. -4 + 4 + 18x = 74 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 74 + 4 18x = 74 + 4 Combine like terms: 74 + 4 = 78 18x = 78 Divide each side by '18'. x = 4.333333333 Simplifying x = 4.333333333
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