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Simplifying 2(x + -2) * 6 = 5x + -3(2 + x) Reorder the terms: 2(-2 + x) * 6 = 5x + -3(2 + x) Reorder the terms for easier multiplication: 2 * 6(-2 + x) = 5x + -3(2 + x) Multiply 2 * 6 12(-2 + x) = 5x + -3(2 + x) (-2 * 12 + x * 12) = 5x + -3(2 + x) (-24 + 12x) = 5x + -3(2 + x) -24 + 12x = 5x + (2 * -3 + x * -3) -24 + 12x = 5x + (-6 + -3x) Reorder the terms: -24 + 12x = -6 + 5x + -3x Combine like terms: 5x + -3x = 2x -24 + 12x = -6 + 2x Solving -24 + 12x = -6 + 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. -24 + 12x + -2x = -6 + 2x + -2x Combine like terms: 12x + -2x = 10x -24 + 10x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 10x = -6 + 0 -24 + 10x = -6 Add '24' to each side of the equation. -24 + 24 + 10x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = -6 + 24 10x = -6 + 24 Combine like terms: -6 + 24 = 18 10x = 18 Divide each side by '10'. x = 1.8 Simplifying x = 1.8
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