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Simplifying 3x + 4 + -2x + 7(2x + -1) = 4x + 12 Reorder the terms: 3x + 4 + -2x + 7(-1 + 2x) = 4x + 12 3x + 4 + -2x + (-1 * 7 + 2x * 7) = 4x + 12 3x + 4 + -2x + (-7 + 14x) = 4x + 12 Reorder the terms: 4 + -7 + 3x + -2x + 14x = 4x + 12 Combine like terms: 4 + -7 = -3 -3 + 3x + -2x + 14x = 4x + 12 Combine like terms: 3x + -2x = 1x -3 + 1x + 14x = 4x + 12 Combine like terms: 1x + 14x = 15x -3 + 15x = 4x + 12 Reorder the terms: -3 + 15x = 12 + 4x Solving -3 + 15x = 12 + 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. -3 + 15x + -4x = 12 + 4x + -4x Combine like terms: 15x + -4x = 11x -3 + 11x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 11x = 12 + 0 -3 + 11x = 12 Add '3' to each side of the equation. -3 + 3 + 11x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 12 + 3 11x = 12 + 3 Combine like terms: 12 + 3 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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