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Simplifying 3 + 0.1(35 + -1x) = 1.7x + -1(0.2x + -3.3) 3 + (35 * 0.1 + -1x * 0.1) = 1.7x + -1(0.2x + -3.3) 3 + (3.5 + -0.1x) = 1.7x + -1(0.2x + -3.3) Combine like terms: 3 + 3.5 = 6.5 6.5 + -0.1x = 1.7x + -1(0.2x + -3.3) Reorder the terms: 6.5 + -0.1x = 1.7x + -1(-3.3 + 0.2x) 6.5 + -0.1x = 1.7x + (-3.3 * -1 + 0.2x * -1) 6.5 + -0.1x = 1.7x + (3.3 + -0.2x) Reorder the terms: 6.5 + -0.1x = 3.3 + 1.7x + -0.2x Combine like terms: 1.7x + -0.2x = 1.5x 6.5 + -0.1x = 3.3 + 1.5x Solving 6.5 + -0.1x = 3.3 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 6.5 + -0.1x + -1.5x = 3.3 + 1.5x + -1.5x Combine like terms: -0.1x + -1.5x = -1.6x 6.5 + -1.6x = 3.3 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 6.5 + -1.6x = 3.3 + 0.0 6.5 + -1.6x = 3.3 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1.6x = 3.3 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1.6x = 3.3 + -6.5 -1.6x = 3.3 + -6.5 Combine like terms: 3.3 + -6.5 = -3.2 -1.6x = -3.2 Divide each side by '-1.6'. x = 2 Simplifying x = 2
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