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Simplifying 0.2(1.53 + 5x) = 1.6x (1.53 * 0.2 + 5x * 0.2) = 1.6x (0.306 + 1x) = 1.6x Solving 0.306 + 1x = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 0.306 + 1x + -1.6x = 1.6x + -1.6x Combine like terms: 1x + -1.6x = -0.6x 0.306 + -0.6x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 0.306 + -0.6x = 0.0 Add '-0.306' to each side of the equation. 0.306 + -0.306 + -0.6x = 0.0 + -0.306 Combine like terms: 0.306 + -0.306 = 0.000 0.000 + -0.6x = 0.0 + -0.306 -0.6x = 0.0 + -0.306 Combine like terms: 0.0 + -0.306 = -0.306 -0.6x = -0.306 Divide each side by '-0.6'. x = 0.51 Simplifying x = 0.51
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