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Simplifying 3(x + -2x + -2) = 4x + 5(-2) Reorder the terms: 3(-2 + x + -2x) = 4x + 5(-2) Combine like terms: x + -2x = -1x 3(-2 + -1x) = 4x + 5(-2) (-2 * 3 + -1x * 3) = 4x + 5(-2) (-6 + -3x) = 4x + 5(-2) Multiply 5 * -2 -6 + -3x = 4x + -10 Reorder the terms: -6 + -3x = -10 + 4x Solving -6 + -3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -3x + -4x = -10 + 4x + -4x Combine like terms: -3x + -4x = -7x -6 + -7x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -7x = -10 + 0 -6 + -7x = -10 Add '6' to each side of the equation. -6 + 6 + -7x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -10 + 6 -7x = -10 + 6 Combine like terms: -10 + 6 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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