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Simplifying (2x + -3) + 3(4x + 7) = 4x + -2 Reorder the terms: (-3 + 2x) + 3(4x + 7) = 4x + -2 Remove parenthesis around (-3 + 2x) -3 + 2x + 3(4x + 7) = 4x + -2 Reorder the terms: -3 + 2x + 3(7 + 4x) = 4x + -2 -3 + 2x + (7 * 3 + 4x * 3) = 4x + -2 -3 + 2x + (21 + 12x) = 4x + -2 Reorder the terms: -3 + 21 + 2x + 12x = 4x + -2 Combine like terms: -3 + 21 = 18 18 + 2x + 12x = 4x + -2 Combine like terms: 2x + 12x = 14x 18 + 14x = 4x + -2 Reorder the terms: 18 + 14x = -2 + 4x Solving 18 + 14x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 14x + -4x = -2 + 4x + -4x Combine like terms: 14x + -4x = 10x 18 + 10x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 10x = -2 + 0 18 + 10x = -2 Add '-18' to each side of the equation. 18 + -18 + 10x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = -2 + -18 10x = -2 + -18 Combine like terms: -2 + -18 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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