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Simplifying -5(2x + -2) + 4x = 3x + -6 Reorder the terms: -5(-2 + 2x) + 4x = 3x + -6 (-2 * -5 + 2x * -5) + 4x = 3x + -6 (10 + -10x) + 4x = 3x + -6 Combine like terms: -10x + 4x = -6x 10 + -6x = 3x + -6 Reorder the terms: 10 + -6x = -6 + 3x Solving 10 + -6x = -6 + 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. 10 + -6x + -3x = -6 + 3x + -3x Combine like terms: -6x + -3x = -9x 10 + -9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -9x = -6 + 0 10 + -9x = -6 Add '-10' to each side of the equation. 10 + -10 + -9x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -6 + -10 -9x = -6 + -10 Combine like terms: -6 + -10 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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