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Simplifying 9(2x + -3) + -4(5 + 3x) = 5(6 + x) Reorder the terms: 9(-3 + 2x) + -4(5 + 3x) = 5(6 + x) (-3 * 9 + 2x * 9) + -4(5 + 3x) = 5(6 + x) (-27 + 18x) + -4(5 + 3x) = 5(6 + x) -27 + 18x + (5 * -4 + 3x * -4) = 5(6 + x) -27 + 18x + (-20 + -12x) = 5(6 + x) Reorder the terms: -27 + -20 + 18x + -12x = 5(6 + x) Combine like terms: -27 + -20 = -47 -47 + 18x + -12x = 5(6 + x) Combine like terms: 18x + -12x = 6x -47 + 6x = 5(6 + x) -47 + 6x = (6 * 5 + x * 5) -47 + 6x = (30 + 5x) Solving -47 + 6x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -47 + 6x + -5x = 30 + 5x + -5x Combine like terms: 6x + -5x = 1x -47 + 1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 1x = 30 + 0 -47 + 1x = 30 Add '47' to each side of the equation. -47 + 47 + 1x = 30 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = 30 + 47 1x = 30 + 47 Combine like terms: 30 + 47 = 77 1x = 77 Divide each side by '1'. x = 77 Simplifying x = 77
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