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Simplifying (x + -5) * 110 + (1 + -2x) * 15 = (3 + -1x) * 14 Reorder the terms: (-5 + x) * 110 + (1 + -2x) * 15 = (3 + -1x) * 14 Reorder the terms for easier multiplication: 110(-5 + x) + (1 + -2x) * 15 = (3 + -1x) * 14 (-5 * 110 + x * 110) + (1 + -2x) * 15 = (3 + -1x) * 14 (-550 + 110x) + (1 + -2x) * 15 = (3 + -1x) * 14 Reorder the terms for easier multiplication: -550 + 110x + 15(1 + -2x) = (3 + -1x) * 14 -550 + 110x + (1 * 15 + -2x * 15) = (3 + -1x) * 14 -550 + 110x + (15 + -30x) = (3 + -1x) * 14 Reorder the terms: -550 + 15 + 110x + -30x = (3 + -1x) * 14 Combine like terms: -550 + 15 = -535 -535 + 110x + -30x = (3 + -1x) * 14 Combine like terms: 110x + -30x = 80x -535 + 80x = (3 + -1x) * 14 Reorder the terms for easier multiplication: -535 + 80x = 14(3 + -1x) -535 + 80x = (3 * 14 + -1x * 14) -535 + 80x = (42 + -14x) Solving -535 + 80x = 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. -535 + 80x + 14x = 42 + -14x + 14x Combine like terms: 80x + 14x = 94x -535 + 94x = 42 + -14x + 14x Combine like terms: -14x + 14x = 0 -535 + 94x = 42 + 0 -535 + 94x = 42 Add '535' to each side of the equation. -535 + 535 + 94x = 42 + 535 Combine like terms: -535 + 535 = 0 0 + 94x = 42 + 535 94x = 42 + 535 Combine like terms: 42 + 535 = 577 94x = 577 Divide each side by '94'. x = 6.138297872 Simplifying x = 6.138297872
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