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Simplifying 17.4(2x + 0.5) = 3(0.2x + (-2)) + -4 Reorder the terms: 17.4(0.5 + 2x) = 3(0.2x + (-2)) + -4 (0.5 * 17.4 + 2x * 17.4) = 3(0.2x + (-2)) + -4 (8.7 + 34.8x) = 3(0.2x + (-2)) + -4 8.7 + 34.8x = 3(0.2x + -2) + -4 Reorder the terms: 8.7 + 34.8x = 3(-2 + 0.2x) + -4 8.7 + 34.8x = (-2 * 3 + 0.2x * 3) + -4 8.7 + 34.8x = (-6 + 0.6x) + -4 Reorder the terms: 8.7 + 34.8x = -6 + -4 + 0.6x Combine like terms: -6 + -4 = -10 8.7 + 34.8x = -10 + 0.6x Solving 8.7 + 34.8x = -10 + 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. 8.7 + 34.8x + -0.6x = -10 + 0.6x + -0.6x Combine like terms: 34.8x + -0.6x = 34.2x 8.7 + 34.2x = -10 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 8.7 + 34.2x = -10 + 0.0 8.7 + 34.2x = -10 Add '-8.7' to each side of the equation. 8.7 + -8.7 + 34.2x = -10 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + 34.2x = -10 + -8.7 34.2x = -10 + -8.7 Combine like terms: -10 + -8.7 = -18.7 34.2x = -18.7 Divide each side by '34.2'. x = -0.5467836257 Simplifying x = -0.5467836257
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