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Simplifying 3(x + 0.4) = 5x + x + -19.8 Reorder the terms: 3(0.4 + x) = 5x + x + -19.8 (0.4 * 3 + x * 3) = 5x + x + -19.8 (1.2 + 3x) = 5x + x + -19.8 Reorder the terms: 1.2 + 3x = -19.8 + 5x + x Combine like terms: 5x + x = 6x 1.2 + 3x = -19.8 + 6x Solving 1.2 + 3x = -19.8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1.2 + 3x + -6x = -19.8 + 6x + -6x Combine like terms: 3x + -6x = -3x 1.2 + -3x = -19.8 + 6x + -6x Combine like terms: 6x + -6x = 0 1.2 + -3x = -19.8 + 0 1.2 + -3x = -19.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -3x = -19.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -3x = -19.8 + -1.2 -3x = -19.8 + -1.2 Combine like terms: -19.8 + -1.2 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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