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Simplifying 5.7x + -5 = 3(x + -0.7) + -11 Reorder the terms: -5 + 5.7x = 3(x + -0.7) + -11 Reorder the terms: -5 + 5.7x = 3(-0.7 + x) + -11 -5 + 5.7x = (-0.7 * 3 + x * 3) + -11 -5 + 5.7x = (-2.1 + 3x) + -11 Reorder the terms: -5 + 5.7x = -2.1 + -11 + 3x Combine like terms: -2.1 + -11 = -13.1 -5 + 5.7x = -13.1 + 3x Solving -5 + 5.7x = -13.1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5.7x + -3x = -13.1 + 3x + -3x Combine like terms: 5.7x + -3x = 2.7x -5 + 2.7x = -13.1 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2.7x = -13.1 + 0 -5 + 2.7x = -13.1 Add '5' to each side of the equation. -5 + 5 + 2.7x = -13.1 + 5 Combine like terms: -5 + 5 = 0 0 + 2.7x = -13.1 + 5 2.7x = -13.1 + 5 Combine like terms: -13.1 + 5 = -8.1 2.7x = -8.1 Divide each side by '2.7'. x = -3 Simplifying x = -3
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