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Simplifying 3(2x + -7) + 2 = 4(1 + -3x) + 13 Reorder the terms: 3(-7 + 2x) + 2 = 4(1 + -3x) + 13 (-7 * 3 + 2x * 3) + 2 = 4(1 + -3x) + 13 (-21 + 6x) + 2 = 4(1 + -3x) + 13 Reorder the terms: -21 + 2 + 6x = 4(1 + -3x) + 13 Combine like terms: -21 + 2 = -19 -19 + 6x = 4(1 + -3x) + 13 -19 + 6x = (1 * 4 + -3x * 4) + 13 -19 + 6x = (4 + -12x) + 13 Reorder the terms: -19 + 6x = 4 + 13 + -12x Combine like terms: 4 + 13 = 17 -19 + 6x = 17 + -12x Solving -19 + 6x = 17 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -19 + 6x + 12x = 17 + -12x + 12x Combine like terms: 6x + 12x = 18x -19 + 18x = 17 + -12x + 12x Combine like terms: -12x + 12x = 0 -19 + 18x = 17 + 0 -19 + 18x = 17 Add '19' to each side of the equation. -19 + 19 + 18x = 17 + 19 Combine like terms: -19 + 19 = 0 0 + 18x = 17 + 19 18x = 17 + 19 Combine like terms: 17 + 19 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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