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Simplifying 0.3(4 + 2y) + -5x = 7 (4 * 0.3 + 2y * 0.3) + -5x = 7 (1.2 + 0.6y) + -5x = 7 Reorder the terms: 1.2 + -5x + 0.6y = 7 Solving 1.2 + -5x + 0.6y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -5x + -1.2 + 0.6y = 7 + -1.2 Reorder the terms: 1.2 + -1.2 + -5x + 0.6y = 7 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -5x + 0.6y = 7 + -1.2 -5x + 0.6y = 7 + -1.2 Combine like terms: 7 + -1.2 = 5.8 -5x + 0.6y = 5.8 Add '-0.6y' to each side of the equation. -5x + 0.6y + -0.6y = 5.8 + -0.6y Combine like terms: 0.6y + -0.6y = 0.0 -5x + 0.0 = 5.8 + -0.6y -5x = 5.8 + -0.6y Divide each side by '-5'. x = -1.16 + 0.12y Simplifying x = -1.16 + 0.12y
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