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Simplifying 0.4(5 + 2x) + -0.5 = 3(3x + 7) (5 * 0.4 + 2x * 0.4) + -0.5 = 3(3x + 7) (2 + 0.8x) + -0.5 = 3(3x + 7) Reorder the terms: 2 + -0.5 + 0.8x = 3(3x + 7) Combine like terms: 2 + -0.5 = 1.5 1.5 + 0.8x = 3(3x + 7) Reorder the terms: 1.5 + 0.8x = 3(7 + 3x) 1.5 + 0.8x = (7 * 3 + 3x * 3) 1.5 + 0.8x = (21 + 9x) Solving 1.5 + 0.8x = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1.5 + 0.8x + -9x = 21 + 9x + -9x Combine like terms: 0.8x + -9x = -8.2x 1.5 + -8.2x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 1.5 + -8.2x = 21 + 0 1.5 + -8.2x = 21 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -8.2x = 21 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -8.2x = 21 + -1.5 -8.2x = 21 + -1.5 Combine like terms: 21 + -1.5 = 19.5 -8.2x = 19.5 Divide each side by '-8.2'. x = -2.37804878 Simplifying x = -2.37804878
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