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Simplifying 3(2.4x + -1.2) + -1(5x + 4) = 7.2 + -2(x + -1) Reorder the terms: 3(-1.2 + 2.4x) + -1(5x + 4) = 7.2 + -2(x + -1) (-1.2 * 3 + 2.4x * 3) + -1(5x + 4) = 7.2 + -2(x + -1) (-3.6 + 7.2x) + -1(5x + 4) = 7.2 + -2(x + -1) Reorder the terms: -3.6 + 7.2x + -1(4 + 5x) = 7.2 + -2(x + -1) -3.6 + 7.2x + (4 * -1 + 5x * -1) = 7.2 + -2(x + -1) -3.6 + 7.2x + (-4 + -5x) = 7.2 + -2(x + -1) Reorder the terms: -3.6 + -4 + 7.2x + -5x = 7.2 + -2(x + -1) Combine like terms: -3.6 + -4 = -7.6 -7.6 + 7.2x + -5x = 7.2 + -2(x + -1) Combine like terms: 7.2x + -5x = 2.2x -7.6 + 2.2x = 7.2 + -2(x + -1) Reorder the terms: -7.6 + 2.2x = 7.2 + -2(-1 + x) -7.6 + 2.2x = 7.2 + (-1 * -2 + x * -2) -7.6 + 2.2x = 7.2 + (2 + -2x) Combine like terms: 7.2 + 2 = 9.2 -7.6 + 2.2x = 9.2 + -2x Solving -7.6 + 2.2x = 9.2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7.6 + 2.2x + 2x = 9.2 + -2x + 2x Combine like terms: 2.2x + 2x = 4.2x -7.6 + 4.2x = 9.2 + -2x + 2x Combine like terms: -2x + 2x = 0 -7.6 + 4.2x = 9.2 + 0 -7.6 + 4.2x = 9.2 Add '7.6' to each side of the equation. -7.6 + 7.6 + 4.2x = 9.2 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 4.2x = 9.2 + 7.6 4.2x = 9.2 + 7.6 Combine like terms: 9.2 + 7.6 = 16.8 4.2x = 16.8 Divide each side by '4.2'. x = 4 Simplifying x = 4
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