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Simplifying 2.1x + 18 = 2.16(x + 8) Reorder the terms: 18 + 2.1x = 2.16(x + 8) Reorder the terms: 18 + 2.1x = 2.16(8 + x) 18 + 2.1x = (8 * 2.16 + x * 2.16) 18 + 2.1x = (17.28 + 2.16x) Solving 18 + 2.1x = 17.28 + 2.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.16x' to each side of the equation. 18 + 2.1x + -2.16x = 17.28 + 2.16x + -2.16x Combine like terms: 2.1x + -2.16x = -0.06x 18 + -0.06x = 17.28 + 2.16x + -2.16x Combine like terms: 2.16x + -2.16x = 0.00 18 + -0.06x = 17.28 + 0.00 18 + -0.06x = 17.28 Add '-18' to each side of the equation. 18 + -18 + -0.06x = 17.28 + -18 Combine like terms: 18 + -18 = 0 0 + -0.06x = 17.28 + -18 -0.06x = 17.28 + -18 Combine like terms: 17.28 + -18 = -0.72 -0.06x = -0.72 Divide each side by '-0.06'. x = 12 Simplifying x = 12
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