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Simplifying (40 + 0.4x) + 30 = 150 + -0.7x Remove parenthesis around (40 + 0.4x) 40 + 0.4x + 30 = 150 + -0.7x Reorder the terms: 40 + 30 + 0.4x = 150 + -0.7x Combine like terms: 40 + 30 = 70 70 + 0.4x = 150 + -0.7x Solving 70 + 0.4x = 150 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 70 + 0.4x + 0.7x = 150 + -0.7x + 0.7x Combine like terms: 0.4x + 0.7x = 1.1x 70 + 1.1x = 150 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 70 + 1.1x = 150 + 0.0 70 + 1.1x = 150 Add '-70' to each side of the equation. 70 + -70 + 1.1x = 150 + -70 Combine like terms: 70 + -70 = 0 0 + 1.1x = 150 + -70 1.1x = 150 + -70 Combine like terms: 150 + -70 = 80 1.1x = 80 Divide each side by '1.1'. x = 72.72727273 Simplifying x = 72.72727273
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