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Simplifying -7(2x + 1) + 4(3x + -4) = 3 Reorder the terms: -7(1 + 2x) + 4(3x + -4) = 3 (1 * -7 + 2x * -7) + 4(3x + -4) = 3 (-7 + -14x) + 4(3x + -4) = 3 Reorder the terms: -7 + -14x + 4(-4 + 3x) = 3 -7 + -14x + (-4 * 4 + 3x * 4) = 3 -7 + -14x + (-16 + 12x) = 3 Reorder the terms: -7 + -16 + -14x + 12x = 3 Combine like terms: -7 + -16 = -23 -23 + -14x + 12x = 3 Combine like terms: -14x + 12x = -2x -23 + -2x = 3 Solving -23 + -2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 3 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 3 + 23 -2x = 3 + 23 Combine like terms: 3 + 23 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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