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Simplifying 17.04(2x + 0.5) = 3[0.2x + (-2)] Reorder the terms: 17.04(0.5 + 2x) = 3[0.2x + (-2)] (0.5 * 17.04 + 2x * 17.04) = 3[0.2x + (-2)] (8.52 + 34.08x) = 3[0.2x + (-2)] 8.52 + 34.08x = 3[0.2x + -2] Reorder the terms: 8.52 + 34.08x = 3[-2 + 0.2x] 8.52 + 34.08x = [-2 * 3 + 0.2x * 3] 8.52 + 34.08x = [-6 + 0.6x] Solving 8.52 + 34.08x = -6 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 8.52 + 34.08x + -0.6x = -6 + 0.6x + -0.6x Combine like terms: 34.08x + -0.6x = 33.48x 8.52 + 33.48x = -6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 8.52 + 33.48x = -6 + 0.0 8.52 + 33.48x = -6 Add '-8.52' to each side of the equation. 8.52 + -8.52 + 33.48x = -6 + -8.52 Combine like terms: 8.52 + -8.52 = 0.00 0.00 + 33.48x = -6 + -8.52 33.48x = -6 + -8.52 Combine like terms: -6 + -8.52 = -14.52 33.48x = -14.52 Divide each side by '33.48'. x = -0.4336917563 Simplifying x = -0.4336917563
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