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Simplifying 6(3x + -25) = 5(16x + 40) + -20 Reorder the terms: 6(-25 + 3x) = 5(16x + 40) + -20 (-25 * 6 + 3x * 6) = 5(16x + 40) + -20 (-150 + 18x) = 5(16x + 40) + -20 Reorder the terms: -150 + 18x = 5(40 + 16x) + -20 -150 + 18x = (40 * 5 + 16x * 5) + -20 -150 + 18x = (200 + 80x) + -20 Reorder the terms: -150 + 18x = 200 + -20 + 80x Combine like terms: 200 + -20 = 180 -150 + 18x = 180 + 80x Solving -150 + 18x = 180 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -150 + 18x + -80x = 180 + 80x + -80x Combine like terms: 18x + -80x = -62x -150 + -62x = 180 + 80x + -80x Combine like terms: 80x + -80x = 0 -150 + -62x = 180 + 0 -150 + -62x = 180 Add '150' to each side of the equation. -150 + 150 + -62x = 180 + 150 Combine like terms: -150 + 150 = 0 0 + -62x = 180 + 150 -62x = 180 + 150 Combine like terms: 180 + 150 = 330 -62x = 330 Divide each side by '-62'. x = -5.322580645 Simplifying x = -5.322580645
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