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Simplifying 1.5x + 10.6 = 3.2x + -3 Reorder the terms: 10.6 + 1.5x = 3.2x + -3 Reorder the terms: 10.6 + 1.5x = -3 + 3.2x Solving 10.6 + 1.5x = -3 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 10.6 + 1.5x + -3.2x = -3 + 3.2x + -3.2x Combine like terms: 1.5x + -3.2x = -1.7x 10.6 + -1.7x = -3 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 10.6 + -1.7x = -3 + 0.0 10.6 + -1.7x = -3 Add '-10.6' to each side of the equation. 10.6 + -10.6 + -1.7x = -3 + -10.6 Combine like terms: 10.6 + -10.6 = 0.0 0.0 + -1.7x = -3 + -10.6 -1.7x = -3 + -10.6 Combine like terms: -3 + -10.6 = -13.6 -1.7x = -13.6 Divide each side by '-1.7'. x = 8 Simplifying x = 8
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