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Simplifying -23 + 9x = 6 + -1(30x + -9) + (20x + 20) Reorder the terms: -23 + 9x = 6 + -1(-9 + 30x) + (20x + 20) -23 + 9x = 6 + (-9 * -1 + 30x * -1) + (20x + 20) -23 + 9x = 6 + (9 + -30x) + (20x + 20) Reorder the terms: -23 + 9x = 6 + 9 + -30x + (20 + 20x) Remove parenthesis around (20 + 20x) -23 + 9x = 6 + 9 + -30x + 20 + 20x Reorder the terms: -23 + 9x = 6 + 9 + 20 + -30x + 20x Combine like terms: 6 + 9 = 15 -23 + 9x = 15 + 20 + -30x + 20x Combine like terms: 15 + 20 = 35 -23 + 9x = 35 + -30x + 20x Combine like terms: -30x + 20x = -10x -23 + 9x = 35 + -10x Solving -23 + 9x = 35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -23 + 9x + 10x = 35 + -10x + 10x Combine like terms: 9x + 10x = 19x -23 + 19x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 -23 + 19x = 35 + 0 -23 + 19x = 35 Add '23' to each side of the equation. -23 + 23 + 19x = 35 + 23 Combine like terms: -23 + 23 = 0 0 + 19x = 35 + 23 19x = 35 + 23 Combine like terms: 35 + 23 = 58 19x = 58 Divide each side by '19'. x = 3.052631579 Simplifying x = 3.052631579
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