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Simplifying 30x + -20 = 12x + -1(2x + 4) + (-2x + 3) Reorder the terms: -20 + 30x = 12x + -1(2x + 4) + (-2x + 3) Reorder the terms: -20 + 30x = 12x + -1(4 + 2x) + (-2x + 3) -20 + 30x = 12x + (4 * -1 + 2x * -1) + (-2x + 3) -20 + 30x = 12x + (-4 + -2x) + (-2x + 3) Reorder the terms: -20 + 30x = 12x + -4 + -2x + (3 + -2x) Remove parenthesis around (3 + -2x) -20 + 30x = 12x + -4 + -2x + 3 + -2x Reorder the terms: -20 + 30x = -4 + 3 + 12x + -2x + -2x Combine like terms: -4 + 3 = -1 -20 + 30x = -1 + 12x + -2x + -2x Combine like terms: 12x + -2x = 10x -20 + 30x = -1 + 10x + -2x Combine like terms: 10x + -2x = 8x -20 + 30x = -1 + 8x Solving -20 + 30x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 30x + -8x = -1 + 8x + -8x Combine like terms: 30x + -8x = 22x -20 + 22x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 22x = -1 + 0 -20 + 22x = -1 Add '20' to each side of the equation. -20 + 20 + 22x = -1 + 20 Combine like terms: -20 + 20 = 0 0 + 22x = -1 + 20 22x = -1 + 20 Combine like terms: -1 + 20 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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