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Simplifying 5(8x + -200) = 30(5x + -4) Reorder the terms: 5(-200 + 8x) = 30(5x + -4) (-200 * 5 + 8x * 5) = 30(5x + -4) (-1000 + 40x) = 30(5x + -4) Reorder the terms: -1000 + 40x = 30(-4 + 5x) -1000 + 40x = (-4 * 30 + 5x * 30) -1000 + 40x = (-120 + 150x) Solving -1000 + 40x = -120 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. -1000 + 40x + -150x = -120 + 150x + -150x Combine like terms: 40x + -150x = -110x -1000 + -110x = -120 + 150x + -150x Combine like terms: 150x + -150x = 0 -1000 + -110x = -120 + 0 -1000 + -110x = -120 Add '1000' to each side of the equation. -1000 + 1000 + -110x = -120 + 1000 Combine like terms: -1000 + 1000 = 0 0 + -110x = -120 + 1000 -110x = -120 + 1000 Combine like terms: -120 + 1000 = 880 -110x = 880 Divide each side by '-110'. x = -8 Simplifying x = -8
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