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Simplifying 0.04(2x + 0.5) = 3(0.2x + (-2)) + -4 Reorder the terms: 0.04(0.5 + 2x) = 3(0.2x + (-2)) + -4 (0.5 * 0.04 + 2x * 0.04) = 3(0.2x + (-2)) + -4 (0.02 + 0.08x) = 3(0.2x + (-2)) + -4 0.02 + 0.08x = 3(0.2x + -2) + -4 Reorder the terms: 0.02 + 0.08x = 3(-2 + 0.2x) + -4 0.02 + 0.08x = (-2 * 3 + 0.2x * 3) + -4 0.02 + 0.08x = (-6 + 0.6x) + -4 Reorder the terms: 0.02 + 0.08x = -6 + -4 + 0.6x Combine like terms: -6 + -4 = -10 0.02 + 0.08x = -10 + 0.6x Solving 0.02 + 0.08x = -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. 0.02 + 0.08x + -0.6x = -10 + 0.6x + -0.6x Combine like terms: 0.08x + -0.6x = -0.52x 0.02 + -0.52x = -10 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.02 + -0.52x = -10 + 0.0 0.02 + -0.52x = -10 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.52x = -10 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.52x = -10 + -0.02 -0.52x = -10 + -0.02 Combine like terms: -10 + -0.02 = -10.02 -0.52x = -10.02 Divide each side by '-0.52'. x = 19.26923077 Simplifying x = 19.26923077
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