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Simplifying 4x + 5.2 = 2(3x + -2.4) Reorder the terms: 5.2 + 4x = 2(3x + -2.4) Reorder the terms: 5.2 + 4x = 2(-2.4 + 3x) 5.2 + 4x = (-2.4 * 2 + 3x * 2) 5.2 + 4x = (-4.8 + 6x) Solving 5.2 + 4x = -4.8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5.2 + 4x + -6x = -4.8 + 6x + -6x Combine like terms: 4x + -6x = -2x 5.2 + -2x = -4.8 + 6x + -6x Combine like terms: 6x + -6x = 0 5.2 + -2x = -4.8 + 0 5.2 + -2x = -4.8 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -2x = -4.8 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -2x = -4.8 + -5.2 -2x = -4.8 + -5.2 Combine like terms: -4.8 + -5.2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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