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Simplifying 2(3x + -1) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2 Reorder the terms: 2(-1 + 3x) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2 (-1 * 2 + 3x * 2) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2 (-2 + 6x) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2 Reorder the terms: -2 + 6x + 2(2 + 2x) = 4x + -6 + 5x + -6 + 4x + 2 -2 + 6x + (2 * 2 + 2x * 2) = 4x + -6 + 5x + -6 + 4x + 2 -2 + 6x + (4 + 4x) = 4x + -6 + 5x + -6 + 4x + 2 Reorder the terms: -2 + 4 + 6x + 4x = 4x + -6 + 5x + -6 + 4x + 2 Combine like terms: -2 + 4 = 2 2 + 6x + 4x = 4x + -6 + 5x + -6 + 4x + 2 Combine like terms: 6x + 4x = 10x 2 + 10x = 4x + -6 + 5x + -6 + 4x + 2 Reorder the terms: 2 + 10x = -6 + -6 + 2 + 4x + 5x + 4x Combine like terms: -6 + -6 = -12 2 + 10x = -12 + 2 + 4x + 5x + 4x Combine like terms: -12 + 2 = -10 2 + 10x = -10 + 4x + 5x + 4x Combine like terms: 4x + 5x = 9x 2 + 10x = -10 + 9x + 4x Combine like terms: 9x + 4x = 13x 2 + 10x = -10 + 13x Solving 2 + 10x = -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. 2 + 10x + -13x = -10 + 13x + -13x Combine like terms: 10x + -13x = -3x 2 + -3x = -10 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -3x = -10 + 0 2 + -3x = -10 Add '-2' to each side of the equation. 2 + -2 + -3x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -10 + -2 -3x = -10 + -2 Combine like terms: -10 + -2 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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