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Simplifying 0.6x + 7 = 1.3x + 6 Reorder the terms: 7 + 0.6x = 1.3x + 6 Reorder the terms: 7 + 0.6x = 6 + 1.3x Solving 7 + 0.6x = 6 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 7 + 0.6x + -1.3x = 6 + 1.3x + -1.3x Combine like terms: 0.6x + -1.3x = -0.7x 7 + -0.7x = 6 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 7 + -0.7x = 6 + 0.0 7 + -0.7x = 6 Add '-7' to each side of the equation. 7 + -7 + -0.7x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -0.7x = 6 + -7 -0.7x = 6 + -7 Combine like terms: 6 + -7 = -1 -0.7x = -1 Divide each side by '-0.7'. x = 1.428571429 Simplifying x = 1.428571429
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