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Simplifying 40 + 19.95(x + -3) = 59.85 + 29.95(x + -6) Reorder the terms: 40 + 19.95(-3 + x) = 59.85 + 29.95(x + -6) 40 + (-3 * 19.95 + x * 19.95) = 59.85 + 29.95(x + -6) 40 + (-59.85 + 19.95x) = 59.85 + 29.95(x + -6) Combine like terms: 40 + -59.85 = -19.85 -19.85 + 19.95x = 59.85 + 29.95(x + -6) Reorder the terms: -19.85 + 19.95x = 59.85 + 29.95(-6 + x) -19.85 + 19.95x = 59.85 + (-6 * 29.95 + x * 29.95) -19.85 + 19.95x = 59.85 + (-179.7 + 29.95x) Combine like terms: 59.85 + -179.7 = -119.85 -19.85 + 19.95x = -119.85 + 29.95x Solving -19.85 + 19.95x = -119.85 + 29.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29.95x' to each side of the equation. -19.85 + 19.95x + -29.95x = -119.85 + 29.95x + -29.95x Combine like terms: 19.95x + -29.95x = -10x -19.85 + -10x = -119.85 + 29.95x + -29.95x Combine like terms: 29.95x + -29.95x = 0.00 -19.85 + -10x = -119.85 + 0.00 -19.85 + -10x = -119.85 Add '19.85' to each side of the equation. -19.85 + 19.85 + -10x = -119.85 + 19.85 Combine like terms: -19.85 + 19.85 = 0.00 0.00 + -10x = -119.85 + 19.85 -10x = -119.85 + 19.85 Combine like terms: -119.85 + 19.85 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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