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Simplifying 7 + -2(3x + -5) = 2 + 3(4x + -7) Reorder the terms: 7 + -2(-5 + 3x) = 2 + 3(4x + -7) 7 + (-5 * -2 + 3x * -2) = 2 + 3(4x + -7) 7 + (10 + -6x) = 2 + 3(4x + -7) Combine like terms: 7 + 10 = 17 17 + -6x = 2 + 3(4x + -7) Reorder the terms: 17 + -6x = 2 + 3(-7 + 4x) 17 + -6x = 2 + (-7 * 3 + 4x * 3) 17 + -6x = 2 + (-21 + 12x) Combine like terms: 2 + -21 = -19 17 + -6x = -19 + 12x Solving 17 + -6x = -19 + 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. 17 + -6x + -12x = -19 + 12x + -12x Combine like terms: -6x + -12x = -18x 17 + -18x = -19 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -18x = -19 + 0 17 + -18x = -19 Add '-17' to each side of the equation. 17 + -17 + -18x = -19 + -17 Combine like terms: 17 + -17 = 0 0 + -18x = -19 + -17 -18x = -19 + -17 Combine like terms: -19 + -17 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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