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Simplifying (x + -5) * 10 + (1 + -2x) * 15 = (3 + -1x) * 14 Reorder the terms: (-5 + x) * 10 + (1 + -2x) * 15 = (3 + -1x) * 14 Reorder the terms for easier multiplication: 10(-5 + x) + (1 + -2x) * 15 = (3 + -1x) * 14 (-5 * 10 + x * 10) + (1 + -2x) * 15 = (3 + -1x) * 14 (-50 + 10x) + (1 + -2x) * 15 = (3 + -1x) * 14 Reorder the terms for easier multiplication: -50 + 10x + 15(1 + -2x) = (3 + -1x) * 14 -50 + 10x + (1 * 15 + -2x * 15) = (3 + -1x) * 14 -50 + 10x + (15 + -30x) = (3 + -1x) * 14 Reorder the terms: -50 + 15 + 10x + -30x = (3 + -1x) * 14 Combine like terms: -50 + 15 = -35 -35 + 10x + -30x = (3 + -1x) * 14 Combine like terms: 10x + -30x = -20x -35 + -20x = (3 + -1x) * 14 Reorder the terms for easier multiplication: -35 + -20x = 14(3 + -1x) -35 + -20x = (3 * 14 + -1x * 14) -35 + -20x = (42 + -14x) Solving -35 + -20x = 42 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -35 + -20x + 14x = 42 + -14x + 14x Combine like terms: -20x + 14x = -6x -35 + -6x = 42 + -14x + 14x Combine like terms: -14x + 14x = 0 -35 + -6x = 42 + 0 -35 + -6x = 42 Add '35' to each side of the equation. -35 + 35 + -6x = 42 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = 42 + 35 -6x = 42 + 35 Combine like terms: 42 + 35 = 77 -6x = 77 Divide each side by '-6'. x = -12.83333333 Simplifying x = -12.83333333
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