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Simplifying 3(2x + -7) + 2 = 3(4 + -1x) + -12 Reorder the terms: 3(-7 + 2x) + 2 = 3(4 + -1x) + -12 (-7 * 3 + 2x * 3) + 2 = 3(4 + -1x) + -12 (-21 + 6x) + 2 = 3(4 + -1x) + -12 Reorder the terms: -21 + 2 + 6x = 3(4 + -1x) + -12 Combine like terms: -21 + 2 = -19 -19 + 6x = 3(4 + -1x) + -12 -19 + 6x = (4 * 3 + -1x * 3) + -12 -19 + 6x = (12 + -3x) + -12 Reorder the terms: -19 + 6x = 12 + -12 + -3x Combine like terms: 12 + -12 = 0 -19 + 6x = 0 + -3x -19 + 6x = -3x Solving -19 + 6x = -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. -19 + 6x + 3x = -3x + 3x Combine like terms: 6x + 3x = 9x -19 + 9x = -3x + 3x Combine like terms: -3x + 3x = 0 -19 + 9x = 0 Add '19' to each side of the equation. -19 + 19 + 9x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 9x = 0 + 19 9x = 0 + 19 Combine like terms: 0 + 19 = 19 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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