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Simplifying 5(0.2x + 8) + -6(1.4x + 2) = 0 Reorder the terms: 5(8 + 0.2x) + -6(1.4x + 2) = 0 (8 * 5 + 0.2x * 5) + -6(1.4x + 2) = 0 (40 + 1x) + -6(1.4x + 2) = 0 Reorder the terms: 40 + 1x + -6(2 + 1.4x) = 0 40 + 1x + (2 * -6 + 1.4x * -6) = 0 40 + 1x + (-12 + -8.4x) = 0 Reorder the terms: 40 + -12 + 1x + -8.4x = 0 Combine like terms: 40 + -12 = 28 28 + 1x + -8.4x = 0 Combine like terms: 1x + -8.4x = -7.4x 28 + -7.4x = 0 Solving 28 + -7.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -7.4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7.4x = 0 + -28 -7.4x = 0 + -28 Combine like terms: 0 + -28 = -28 -7.4x = -28 Divide each side by '-7.4'. x = 3.783783784 Simplifying x = 3.783783784
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