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Simplifying 2(x + -4) = 2x + -5(3x + -2) Reorder the terms: 2(-4 + x) = 2x + -5(3x + -2) (-4 * 2 + x * 2) = 2x + -5(3x + -2) (-8 + 2x) = 2x + -5(3x + -2) Reorder the terms: -8 + 2x = 2x + -5(-2 + 3x) -8 + 2x = 2x + (-2 * -5 + 3x * -5) -8 + 2x = 2x + (10 + -15x) Reorder the terms: -8 + 2x = 10 + 2x + -15x Combine like terms: 2x + -15x = -13x -8 + 2x = 10 + -13x Solving -8 + 2x = 10 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -8 + 2x + 13x = 10 + -13x + 13x Combine like terms: 2x + 13x = 15x -8 + 15x = 10 + -13x + 13x Combine like terms: -13x + 13x = 0 -8 + 15x = 10 + 0 -8 + 15x = 10 Add '8' to each side of the equation. -8 + 8 + 15x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 10 + 8 15x = 10 + 8 Combine like terms: 10 + 8 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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