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Simplifying 3(x + -7) + 2 = 2x + -1 Reorder the terms: 3(-7 + x) + 2 = 2x + -1 (-7 * 3 + x * 3) + 2 = 2x + -1 (-21 + 3x) + 2 = 2x + -1 Reorder the terms: -21 + 2 + 3x = 2x + -1 Combine like terms: -21 + 2 = -19 -19 + 3x = 2x + -1 Reorder the terms: -19 + 3x = -1 + 2x Solving -19 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x -19 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 1x = -1 + 0 -19 + 1x = -1 Add '19' to each side of the equation. -19 + 19 + 1x = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = -1 + 19 1x = -1 + 19 Combine like terms: -1 + 19 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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