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Simplifying 5x + 20 + -6(10x + -40) + -1(230 + 10x) = 25(10x + -70) + -10 Reorder the terms: 5x + 20 + -6(-40 + 10x) + -1(230 + 10x) = 25(10x + -70) + -10 5x + 20 + (-40 * -6 + 10x * -6) + -1(230 + 10x) = 25(10x + -70) + -10 5x + 20 + (240 + -60x) + -1(230 + 10x) = 25(10x + -70) + -10 5x + 20 + 240 + -60x + (230 * -1 + 10x * -1) = 25(10x + -70) + -10 5x + 20 + 240 + -60x + (-230 + -10x) = 25(10x + -70) + -10 Reorder the terms: 20 + 240 + -230 + 5x + -60x + -10x = 25(10x + -70) + -10 Combine like terms: 20 + 240 = 260 260 + -230 + 5x + -60x + -10x = 25(10x + -70) + -10 Combine like terms: 260 + -230 = 30 30 + 5x + -60x + -10x = 25(10x + -70) + -10 Combine like terms: 5x + -60x = -55x 30 + -55x + -10x = 25(10x + -70) + -10 Combine like terms: -55x + -10x = -65x 30 + -65x = 25(10x + -70) + -10 Reorder the terms: 30 + -65x = 25(-70 + 10x) + -10 30 + -65x = (-70 * 25 + 10x * 25) + -10 30 + -65x = (-1750 + 250x) + -10 Reorder the terms: 30 + -65x = -1750 + -10 + 250x Combine like terms: -1750 + -10 = -1760 30 + -65x = -1760 + 250x Solving 30 + -65x = -1760 + 250x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250x' to each side of the equation. 30 + -65x + -250x = -1760 + 250x + -250x Combine like terms: -65x + -250x = -315x 30 + -315x = -1760 + 250x + -250x Combine like terms: 250x + -250x = 0 30 + -315x = -1760 + 0 30 + -315x = -1760 Add '-30' to each side of the equation. 30 + -30 + -315x = -1760 + -30 Combine like terms: 30 + -30 = 0 0 + -315x = -1760 + -30 -315x = -1760 + -30 Combine like terms: -1760 + -30 = -1790 -315x = -1790 Divide each side by '-315'. x = 5.682539683 Simplifying x = 5.682539683
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