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Simplifying 0.06(x + 2) = 2x + -5(4 + -1x) + -7 Reorder the terms: 0.06(2 + x) = 2x + -5(4 + -1x) + -7 (2 * 0.06 + x * 0.06) = 2x + -5(4 + -1x) + -7 (0.12 + 0.06x) = 2x + -5(4 + -1x) + -7 0.12 + 0.06x = 2x + (4 * -5 + -1x * -5) + -7 0.12 + 0.06x = 2x + (-20 + 5x) + -7 Reorder the terms: 0.12 + 0.06x = -20 + -7 + 2x + 5x Combine like terms: -20 + -7 = -27 0.12 + 0.06x = -27 + 2x + 5x Combine like terms: 2x + 5x = 7x 0.12 + 0.06x = -27 + 7x Solving 0.12 + 0.06x = -27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0.12 + 0.06x + -7x = -27 + 7x + -7x Combine like terms: 0.06x + -7x = -6.94x 0.12 + -6.94x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 0.12 + -6.94x = -27 + 0 0.12 + -6.94x = -27 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -6.94x = -27 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -6.94x = -27 + -0.12 -6.94x = -27 + -0.12 Combine like terms: -27 + -0.12 = -27.12 -6.94x = -27.12 Divide each side by '-6.94'. x = 3.90778098 Simplifying x = 3.90778098
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