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Simplifying 3 + 0.1(37 + -1x) = 1.8 + -1(0.3x + -3.5) 3 + (37 * 0.1 + -1x * 0.1) = 1.8 + -1(0.3x + -3.5) 3 + (3.7 + -0.1x) = 1.8 + -1(0.3x + -3.5) Combine like terms: 3 + 3.7 = 6.7 6.7 + -0.1x = 1.8 + -1(0.3x + -3.5) Reorder the terms: 6.7 + -0.1x = 1.8 + -1(-3.5 + 0.3x) 6.7 + -0.1x = 1.8 + (-3.5 * -1 + 0.3x * -1) 6.7 + -0.1x = 1.8 + (3.5 + -0.3x) Combine like terms: 1.8 + 3.5 = 5.3 6.7 + -0.1x = 5.3 + -0.3x Solving 6.7 + -0.1x = 5.3 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 6.7 + -0.1x + 0.3x = 5.3 + -0.3x + 0.3x Combine like terms: -0.1x + 0.3x = 0.2x 6.7 + 0.2x = 5.3 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 6.7 + 0.2x = 5.3 + 0.0 6.7 + 0.2x = 5.3 Add '-6.7' to each side of the equation. 6.7 + -6.7 + 0.2x = 5.3 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0 0.0 + 0.2x = 5.3 + -6.7 0.2x = 5.3 + -6.7 Combine like terms: 5.3 + -6.7 = -1.4 0.2x = -1.4 Divide each side by '0.2'. x = -7 Simplifying x = -7
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