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Simplifying 6x + -8 = 1.3(18x + 24) Reorder the terms: -8 + 6x = 1.3(18x + 24) Reorder the terms: -8 + 6x = 1.3(24 + 18x) -8 + 6x = (24 * 1.3 + 18x * 1.3) -8 + 6x = (31.2 + 23.4x) Solving -8 + 6x = 31.2 + 23.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23.4x' to each side of the equation. -8 + 6x + -23.4x = 31.2 + 23.4x + -23.4x Combine like terms: 6x + -23.4x = -17.4x -8 + -17.4x = 31.2 + 23.4x + -23.4x Combine like terms: 23.4x + -23.4x = 0.0 -8 + -17.4x = 31.2 + 0.0 -8 + -17.4x = 31.2 Add '8' to each side of the equation. -8 + 8 + -17.4x = 31.2 + 8 Combine like terms: -8 + 8 = 0 0 + -17.4x = 31.2 + 8 -17.4x = 31.2 + 8 Combine like terms: 31.2 + 8 = 39.2 -17.4x = 39.2 Divide each side by '-17.4'. x = -2.252873563 Simplifying x = -2.252873563
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