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Simplifying 3 + 0.1(29 + -1x) = 1.5x + -1(0.4x + -3.5) 3 + (29 * 0.1 + -1x * 0.1) = 1.5x + -1(0.4x + -3.5) 3 + (2.9 + -0.1x) = 1.5x + -1(0.4x + -3.5) Combine like terms: 3 + 2.9 = 5.9 5.9 + -0.1x = 1.5x + -1(0.4x + -3.5) Reorder the terms: 5.9 + -0.1x = 1.5x + -1(-3.5 + 0.4x) 5.9 + -0.1x = 1.5x + (-3.5 * -1 + 0.4x * -1) 5.9 + -0.1x = 1.5x + (3.5 + -0.4x) Reorder the terms: 5.9 + -0.1x = 3.5 + 1.5x + -0.4x Combine like terms: 1.5x + -0.4x = 1.1x 5.9 + -0.1x = 3.5 + 1.1x Solving 5.9 + -0.1x = 3.5 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 5.9 + -0.1x + -1.1x = 3.5 + 1.1x + -1.1x Combine like terms: -0.1x + -1.1x = -1.2x 5.9 + -1.2x = 3.5 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 5.9 + -1.2x = 3.5 + 0.0 5.9 + -1.2x = 3.5 Add '-5.9' to each side of the equation. 5.9 + -5.9 + -1.2x = 3.5 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + -1.2x = 3.5 + -5.9 -1.2x = 3.5 + -5.9 Combine like terms: 3.5 + -5.9 = -2.4 -1.2x = -2.4 Divide each side by '-1.2'. x = 2 Simplifying x = 2
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