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Simplifying 0.06(x + -1(-4)) + -0.04(2x + -7) = 0 Multiply -1 * -4 0.06(x + 4) + -0.04(2x + -7) = 0 Reorder the terms: 0.06(4 + x) + -0.04(2x + -7) = 0 (4 * 0.06 + x * 0.06) + -0.04(2x + -7) = 0 (0.24 + 0.06x) + -0.04(2x + -7) = 0 Reorder the terms: 0.24 + 0.06x + -0.04(-7 + 2x) = 0 0.24 + 0.06x + (-7 * -0.04 + 2x * -0.04) = 0 0.24 + 0.06x + (0.28 + -0.08x) = 0 Reorder the terms: 0.24 + 0.28 + 0.06x + -0.08x = 0 Combine like terms: 0.24 + 0.28 = 0.52 0.52 + 0.06x + -0.08x = 0 Combine like terms: 0.06x + -0.08x = -0.02x 0.52 + -0.02x = 0 Solving 0.52 + -0.02x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.52' to each side of the equation. 0.52 + -0.52 + -0.02x = 0 + -0.52 Combine like terms: 0.52 + -0.52 = 0.00 0.00 + -0.02x = 0 + -0.52 -0.02x = 0 + -0.52 Combine like terms: 0 + -0.52 = -0.52 -0.02x = -0.52 Divide each side by '-0.02'. x = 26 Simplifying x = 26
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