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Simplifying 5(3x + -4) + -1(2 + -3x) + 20 = 7(2x + -1) + -8x + 9 Reorder the terms: 5(-4 + 3x) + -1(2 + -3x) + 20 = 7(2x + -1) + -8x + 9 (-4 * 5 + 3x * 5) + -1(2 + -3x) + 20 = 7(2x + -1) + -8x + 9 (-20 + 15x) + -1(2 + -3x) + 20 = 7(2x + -1) + -8x + 9 -20 + 15x + (2 * -1 + -3x * -1) + 20 = 7(2x + -1) + -8x + 9 -20 + 15x + (-2 + 3x) + 20 = 7(2x + -1) + -8x + 9 Reorder the terms: -20 + -2 + 20 + 15x + 3x = 7(2x + -1) + -8x + 9 Combine like terms: -20 + -2 = -22 -22 + 20 + 15x + 3x = 7(2x + -1) + -8x + 9 Combine like terms: -22 + 20 = -2 -2 + 15x + 3x = 7(2x + -1) + -8x + 9 Combine like terms: 15x + 3x = 18x -2 + 18x = 7(2x + -1) + -8x + 9 Reorder the terms: -2 + 18x = 7(-1 + 2x) + -8x + 9 -2 + 18x = (-1 * 7 + 2x * 7) + -8x + 9 -2 + 18x = (-7 + 14x) + -8x + 9 Reorder the terms: -2 + 18x = -7 + 9 + 14x + -8x Combine like terms: -7 + 9 = 2 -2 + 18x = 2 + 14x + -8x Combine like terms: 14x + -8x = 6x -2 + 18x = 2 + 6x Solving -2 + 18x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 18x + -6x = 2 + 6x + -6x Combine like terms: 18x + -6x = 12x -2 + 12x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 12x = 2 + 0 -2 + 12x = 2 Add '2' to each side of the equation. -2 + 2 + 12x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 2 + 2 12x = 2 + 2 Combine like terms: 2 + 2 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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