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Simplifying 4.2(5 + -2x) = 1.2(3x + -5) (5 * 4.2 + -2x * 4.2) = 1.2(3x + -5) (21 + -8.4x) = 1.2(3x + -5) Reorder the terms: 21 + -8.4x = 1.2(-5 + 3x) 21 + -8.4x = (-5 * 1.2 + 3x * 1.2) 21 + -8.4x = (-6 + 3.6x) Solving 21 + -8.4x = -6 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 21 + -8.4x + -3.6x = -6 + 3.6x + -3.6x Combine like terms: -8.4x + -3.6x = -12x 21 + -12x = -6 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 21 + -12x = -6 + 0.0 21 + -12x = -6 Add '-21' to each side of the equation. 21 + -21 + -12x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = -6 + -21 -12x = -6 + -21 Combine like terms: -6 + -21 = -27 -12x = -27 Divide each side by '-12'. x = 2.25 Simplifying x = 2.25
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