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Simplifying -10 + 7x = 2(10x + 24) + -1x Reorder the terms: -10 + 7x = 2(24 + 10x) + -1x -10 + 7x = (24 * 2 + 10x * 2) + -1x -10 + 7x = (48 + 20x) + -1x Combine like terms: 20x + -1x = 19x -10 + 7x = 48 + 19x Solving -10 + 7x = 48 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -10 + 7x + -19x = 48 + 19x + -19x Combine like terms: 7x + -19x = -12x -10 + -12x = 48 + 19x + -19x Combine like terms: 19x + -19x = 0 -10 + -12x = 48 + 0 -10 + -12x = 48 Add '10' to each side of the equation. -10 + 10 + -12x = 48 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 48 + 10 -12x = 48 + 10 Combine like terms: 48 + 10 = 58 -12x = 58 Divide each side by '-12'. x = -4.833333333 Simplifying x = -4.833333333
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