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Simplifying 3 + 0.1(21 + -1x) = 1.4x + -1(0.6x + -3.3) 3 + (21 * 0.1 + -1x * 0.1) = 1.4x + -1(0.6x + -3.3) 3 + (2.1 + -0.1x) = 1.4x + -1(0.6x + -3.3) Combine like terms: 3 + 2.1 = 5.1 5.1 + -0.1x = 1.4x + -1(0.6x + -3.3) Reorder the terms: 5.1 + -0.1x = 1.4x + -1(-3.3 + 0.6x) 5.1 + -0.1x = 1.4x + (-3.3 * -1 + 0.6x * -1) 5.1 + -0.1x = 1.4x + (3.3 + -0.6x) Reorder the terms: 5.1 + -0.1x = 3.3 + 1.4x + -0.6x Combine like terms: 1.4x + -0.6x = 0.8x 5.1 + -0.1x = 3.3 + 0.8x Solving 5.1 + -0.1x = 3.3 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 5.1 + -0.1x + -0.8x = 3.3 + 0.8x + -0.8x Combine like terms: -0.1x + -0.8x = -0.9x 5.1 + -0.9x = 3.3 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 5.1 + -0.9x = 3.3 + 0.0 5.1 + -0.9x = 3.3 Add '-5.1' to each side of the equation. 5.1 + -5.1 + -0.9x = 3.3 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -0.9x = 3.3 + -5.1 -0.9x = 3.3 + -5.1 Combine like terms: 3.3 + -5.1 = -1.8 -0.9x = -1.8 Divide each side by '-0.9'. x = 2 Simplifying x = 2
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