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Simplifying 4(3x + -4) + -7(2x + 3) = 3 Reorder the terms: 4(-4 + 3x) + -7(2x + 3) = 3 (-4 * 4 + 3x * 4) + -7(2x + 3) = 3 (-16 + 12x) + -7(2x + 3) = 3 Reorder the terms: -16 + 12x + -7(3 + 2x) = 3 -16 + 12x + (3 * -7 + 2x * -7) = 3 -16 + 12x + (-21 + -14x) = 3 Reorder the terms: -16 + -21 + 12x + -14x = 3 Combine like terms: -16 + -21 = -37 -37 + 12x + -14x = 3 Combine like terms: 12x + -14x = -2x -37 + -2x = 3 Solving -37 + -2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -2x = 3 + 37 Combine like terms: -37 + 37 = 0 0 + -2x = 3 + 37 -2x = 3 + 37 Combine like terms: 3 + 37 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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