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Simplifying 2.4x + -5 = 2(2x + 1) Reorder the terms: -5 + 2.4x = 2(2x + 1) Reorder the terms: -5 + 2.4x = 2(1 + 2x) -5 + 2.4x = (1 * 2 + 2x * 2) -5 + 2.4x = (2 + 4x) Solving -5 + 2.4x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 2.4x + -4x = 2 + 4x + -4x Combine like terms: 2.4x + -4x = -1.6x -5 + -1.6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1.6x = 2 + 0 -5 + -1.6x = 2 Add '5' to each side of the equation. -5 + 5 + -1.6x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1.6x = 2 + 5 -1.6x = 2 + 5 Combine like terms: 2 + 5 = 7 -1.6x = 7 Divide each side by '-1.6'. x = -4.375 Simplifying x = -4.375
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