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Simplifying 0.1x + 3 = 0.70(6 + x) Reorder the terms: 3 + 0.1x = 0.70(6 + x) 3 + 0.1x = (6 * 0.70 + x * 0.70) 3 + 0.1x = (4.2 + 0.70x) Solving 3 + 0.1x = 4.2 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 3 + 0.1x + -0.70x = 4.2 + 0.70x + -0.70x Combine like terms: 0.1x + -0.70x = -0.6x 3 + -0.6x = 4.2 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 3 + -0.6x = 4.2 + 0.00 3 + -0.6x = 4.2 Add '-3' to each side of the equation. 3 + -3 + -0.6x = 4.2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.6x = 4.2 + -3 -0.6x = 4.2 + -3 Combine like terms: 4.2 + -3 = 1.2 -0.6x = 1.2 Divide each side by '-0.6'. x = -2 Simplifying x = -2
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