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Simplifying 2(2x) + 2(3x + -2) = 2(3x + -1) + 3x Remove parenthesis around (2x) 2 * 2x + 2(3x + -2) = 2(3x + -1) + 3x Multiply 2 * 2 4x + 2(3x + -2) = 2(3x + -1) + 3x Reorder the terms: 4x + 2(-2 + 3x) = 2(3x + -1) + 3x 4x + (-2 * 2 + 3x * 2) = 2(3x + -1) + 3x 4x + (-4 + 6x) = 2(3x + -1) + 3x Reorder the terms: -4 + 4x + 6x = 2(3x + -1) + 3x Combine like terms: 4x + 6x = 10x -4 + 10x = 2(3x + -1) + 3x Reorder the terms: -4 + 10x = 2(-1 + 3x) + 3x -4 + 10x = (-1 * 2 + 3x * 2) + 3x -4 + 10x = (-2 + 6x) + 3x Combine like terms: 6x + 3x = 9x -4 + 10x = -2 + 9x Solving -4 + 10x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 10x + -9x = -2 + 9x + -9x Combine like terms: 10x + -9x = 1x -4 + 1x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + 1x = -2 + 0 -4 + 1x = -2 Add '4' to each side of the equation. -4 + 4 + 1x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -2 + 4 1x = -2 + 4 Combine like terms: -2 + 4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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