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Simplifying 35.7x + 0.4(x + 3) = -17.2 + 3x Reorder the terms: 35.7x + 0.4(3 + x) = -17.2 + 3x 35.7x + (3 * 0.4 + x * 0.4) = -17.2 + 3x 35.7x + (1.2 + 0.4x) = -17.2 + 3x Reorder the terms: 1.2 + 35.7x + 0.4x = -17.2 + 3x Combine like terms: 35.7x + 0.4x = 36.1x 1.2 + 36.1x = -17.2 + 3x Solving 1.2 + 36.1x = -17.2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1.2 + 36.1x + -3x = -17.2 + 3x + -3x Combine like terms: 36.1x + -3x = 33.1x 1.2 + 33.1x = -17.2 + 3x + -3x Combine like terms: 3x + -3x = 0 1.2 + 33.1x = -17.2 + 0 1.2 + 33.1x = -17.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 33.1x = -17.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 33.1x = -17.2 + -1.2 33.1x = -17.2 + -1.2 Combine like terms: -17.2 + -1.2 = -18.4 33.1x = -18.4 Divide each side by '33.1'. x = -0.5558912387 Simplifying x = -0.5558912387
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