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Simplifying 1.6x + 18 = 2.4x + 22 Reorder the terms: 18 + 1.6x = 2.4x + 22 Reorder the terms: 18 + 1.6x = 22 + 2.4x Solving 18 + 1.6x = 22 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 18 + 1.6x + -2.4x = 22 + 2.4x + -2.4x Combine like terms: 1.6x + -2.4x = -0.8x 18 + -0.8x = 22 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 18 + -0.8x = 22 + 0.0 18 + -0.8x = 22 Add '-18' to each side of the equation. 18 + -18 + -0.8x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + -0.8x = 22 + -18 -0.8x = 22 + -18 Combine like terms: 22 + -18 = 4 -0.8x = 4 Divide each side by '-0.8'. x = -5 Simplifying x = -5
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