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Simplifying -1.2x(2.4 + -1.2) + 2x = 0.8(2x + -5) Combine like terms: 2.4 + -1.2 = 1.2 -1.2x(1.2) + 2x = 0.8(2x + -5) Reorder the terms for easier multiplication: -1.2 * 1.2x + 2x = 0.8(2x + -5) Multiply -1.2 * 1.2 -1.44x + 2x = 0.8(2x + -5) Combine like terms: -1.44x + 2x = 0.56x 0.56x = 0.8(2x + -5) Reorder the terms: 0.56x = 0.8(-5 + 2x) 0.56x = (-5 * 0.8 + 2x * 0.8) 0.56x = (-4 + 1.6x) Solving 0.56x = -4 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 0.56x + -1.6x = -4 + 1.6x + -1.6x Combine like terms: 0.56x + -1.6x = -1.04x -1.04x = -4 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -1.04x = -4 + 0.0 -1.04x = -4 Divide each side by '-1.04'. x = 3.846153846 Simplifying x = 3.846153846
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