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Simplifying 0.06(x + 3) = 2x + -6(3 + -1x) + -5 Reorder the terms: 0.06(3 + x) = 2x + -6(3 + -1x) + -5 (3 * 0.06 + x * 0.06) = 2x + -6(3 + -1x) + -5 (0.18 + 0.06x) = 2x + -6(3 + -1x) + -5 0.18 + 0.06x = 2x + (3 * -6 + -1x * -6) + -5 0.18 + 0.06x = 2x + (-18 + 6x) + -5 Reorder the terms: 0.18 + 0.06x = -18 + -5 + 2x + 6x Combine like terms: -18 + -5 = -23 0.18 + 0.06x = -23 + 2x + 6x Combine like terms: 2x + 6x = 8x 0.18 + 0.06x = -23 + 8x Solving 0.18 + 0.06x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 0.18 + 0.06x + -8x = -23 + 8x + -8x Combine like terms: 0.06x + -8x = -7.94x 0.18 + -7.94x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 0.18 + -7.94x = -23 + 0 0.18 + -7.94x = -23 Add '-0.18' to each side of the equation. 0.18 + -0.18 + -7.94x = -23 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + -7.94x = -23 + -0.18 -7.94x = -23 + -0.18 Combine like terms: -23 + -0.18 = -23.18 -7.94x = -23.18 Divide each side by '-7.94'. x = 2.919395466 Simplifying x = 2.919395466
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