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Simplifying 52x = 48x + 0.3(1 + 10x) + 0.4 52x = 48x + (1 * 0.3 + 10x * 0.3) + 0.4 52x = 48x + (0.3 + 3x) + 0.4 Reorder the terms: 52x = 0.3 + 0.4 + 48x + 3x Combine like terms: 0.3 + 0.4 = 0.7 52x = 0.7 + 48x + 3x Combine like terms: 48x + 3x = 51x 52x = 0.7 + 51x Solving 52x = 0.7 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 52x + -51x = 0.7 + 51x + -51x Combine like terms: 52x + -51x = 1x 1x = 0.7 + 51x + -51x Combine like terms: 51x + -51x = 0 1x = 0.7 + 0 1x = 0.7 Divide each side by '1'. x = 0.7 Simplifying x = 0.7
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