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Simplifying (2x + -3) + 2(3x + 7) = 4x + -1 Reorder the terms: (-3 + 2x) + 2(3x + 7) = 4x + -1 Remove parenthesis around (-3 + 2x) -3 + 2x + 2(3x + 7) = 4x + -1 Reorder the terms: -3 + 2x + 2(7 + 3x) = 4x + -1 -3 + 2x + (7 * 2 + 3x * 2) = 4x + -1 -3 + 2x + (14 + 6x) = 4x + -1 Reorder the terms: -3 + 14 + 2x + 6x = 4x + -1 Combine like terms: -3 + 14 = 11 11 + 2x + 6x = 4x + -1 Combine like terms: 2x + 6x = 8x 11 + 8x = 4x + -1 Reorder the terms: 11 + 8x = -1 + 4x Solving 11 + 8x = -1 + 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. 11 + 8x + -4x = -1 + 4x + -4x Combine like terms: 8x + -4x = 4x 11 + 4x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 4x = -1 + 0 11 + 4x = -1 Add '-11' to each side of the equation. 11 + -11 + 4x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = -1 + -11 4x = -1 + -11 Combine like terms: -1 + -11 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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