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Simplifying 2.2x + -5 = 2(1.4x + 3) + -3x Reorder the terms: -5 + 2.2x = 2(1.4x + 3) + -3x Reorder the terms: -5 + 2.2x = 2(3 + 1.4x) + -3x -5 + 2.2x = (3 * 2 + 1.4x * 2) + -3x -5 + 2.2x = (6 + 2.8x) + -3x Combine like terms: 2.8x + -3x = -0.2x -5 + 2.2x = 6 + -0.2x Solving -5 + 2.2x = 6 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -5 + 2.2x + 0.2x = 6 + -0.2x + 0.2x Combine like terms: 2.2x + 0.2x = 2.4x -5 + 2.4x = 6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -5 + 2.4x = 6 + 0.0 -5 + 2.4x = 6 Add '5' to each side of the equation. -5 + 5 + 2.4x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 2.4x = 6 + 5 2.4x = 6 + 5 Combine like terms: 6 + 5 = 11 2.4x = 11 Divide each side by '2.4'. x = 4.583333333 Simplifying x = 4.583333333
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