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Simplifying 4(2(3x) + -2) + 2(1 + -3x) = 9 + 3x Remove parenthesis around (3x) 4(2 * 3x + -2) + 2(1 + -3x) = 9 + 3x Multiply 2 * 3 4(6x + -2) + 2(1 + -3x) = 9 + 3x Reorder the terms: 4(-2 + 6x) + 2(1 + -3x) = 9 + 3x (-2 * 4 + 6x * 4) + 2(1 + -3x) = 9 + 3x (-8 + 24x) + 2(1 + -3x) = 9 + 3x -8 + 24x + (1 * 2 + -3x * 2) = 9 + 3x -8 + 24x + (2 + -6x) = 9 + 3x Reorder the terms: -8 + 2 + 24x + -6x = 9 + 3x Combine like terms: -8 + 2 = -6 -6 + 24x + -6x = 9 + 3x Combine like terms: 24x + -6x = 18x -6 + 18x = 9 + 3x Solving -6 + 18x = 9 + 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. -6 + 18x + -3x = 9 + 3x + -3x Combine like terms: 18x + -3x = 15x -6 + 15x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 15x = 9 + 0 -6 + 15x = 9 Add '6' to each side of the equation. -6 + 6 + 15x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 9 + 6 15x = 9 + 6 Combine like terms: 9 + 6 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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