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Simplifying 1.2(0.8x + 4) = 0.02(2x + -10) + 18.8 Reorder the terms: 1.2(4 + 0.8x) = 0.02(2x + -10) + 18.8 (4 * 1.2 + 0.8x * 1.2) = 0.02(2x + -10) + 18.8 (4.8 + 0.96x) = 0.02(2x + -10) + 18.8 Reorder the terms: 4.8 + 0.96x = 0.02(-10 + 2x) + 18.8 4.8 + 0.96x = (-10 * 0.02 + 2x * 0.02) + 18.8 4.8 + 0.96x = (-0.2 + 0.04x) + 18.8 Reorder the terms: 4.8 + 0.96x = -0.2 + 18.8 + 0.04x Combine like terms: -0.2 + 18.8 = 18.6 4.8 + 0.96x = 18.6 + 0.04x Solving 4.8 + 0.96x = 18.6 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 4.8 + 0.96x + -0.04x = 18.6 + 0.04x + -0.04x Combine like terms: 0.96x + -0.04x = 0.92x 4.8 + 0.92x = 18.6 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 4.8 + 0.92x = 18.6 + 0.00 4.8 + 0.92x = 18.6 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 0.92x = 18.6 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 0.92x = 18.6 + -4.8 0.92x = 18.6 + -4.8 Combine like terms: 18.6 + -4.8 = 13.8 0.92x = 13.8 Divide each side by '0.92'. x = 15 Simplifying x = 15
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