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Simplifying 2.4x + 6 = 1.4x + 0.5(6x + -9) Reorder the terms: 6 + 2.4x = 1.4x + 0.5(6x + -9) Reorder the terms: 6 + 2.4x = 1.4x + 0.5(-9 + 6x) 6 + 2.4x = 1.4x + (-9 * 0.5 + 6x * 0.5) 6 + 2.4x = 1.4x + (-4.5 + 3x) Reorder the terms: 6 + 2.4x = -4.5 + 1.4x + 3x Combine like terms: 1.4x + 3x = 4.4x 6 + 2.4x = -4.5 + 4.4x Solving 6 + 2.4x = -4.5 + 4.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.4x' to each side of the equation. 6 + 2.4x + -4.4x = -4.5 + 4.4x + -4.4x Combine like terms: 2.4x + -4.4x = -2x 6 + -2x = -4.5 + 4.4x + -4.4x Combine like terms: 4.4x + -4.4x = 0.0 6 + -2x = -4.5 + 0.0 6 + -2x = -4.5 Add '-6' to each side of the equation. 6 + -6 + -2x = -4.5 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -4.5 + -6 -2x = -4.5 + -6 Combine like terms: -4.5 + -6 = -10.5 -2x = -10.5 Divide each side by '-2'. x = 5.25 Simplifying x = 5.25
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