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Simplifying 2 + -1(2x + 1) = 7 + 4(x + 3) Reorder the terms: 2 + -1(1 + 2x) = 7 + 4(x + 3) 2 + (1 * -1 + 2x * -1) = 7 + 4(x + 3) 2 + (-1 + -2x) = 7 + 4(x + 3) Combine like terms: 2 + -1 = 1 1 + -2x = 7 + 4(x + 3) Reorder the terms: 1 + -2x = 7 + 4(3 + x) 1 + -2x = 7 + (3 * 4 + x * 4) 1 + -2x = 7 + (12 + 4x) Combine like terms: 7 + 12 = 19 1 + -2x = 19 + 4x Solving 1 + -2x = 19 + 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. 1 + -2x + -4x = 19 + 4x + -4x Combine like terms: -2x + -4x = -6x 1 + -6x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -6x = 19 + 0 1 + -6x = 19 Add '-1' to each side of the equation. 1 + -1 + -6x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 19 + -1 -6x = 19 + -1 Combine like terms: 19 + -1 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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