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Simplifying -7(4x + 7) = 3 + 4(-4 + -6x) Reorder the terms: -7(7 + 4x) = 3 + 4(-4 + -6x) (7 * -7 + 4x * -7) = 3 + 4(-4 + -6x) (-49 + -28x) = 3 + 4(-4 + -6x) -49 + -28x = 3 + (-4 * 4 + -6x * 4) -49 + -28x = 3 + (-16 + -24x) Combine like terms: 3 + -16 = -13 -49 + -28x = -13 + -24x Solving -49 + -28x = -13 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -49 + -28x + 24x = -13 + -24x + 24x Combine like terms: -28x + 24x = -4x -49 + -4x = -13 + -24x + 24x Combine like terms: -24x + 24x = 0 -49 + -4x = -13 + 0 -49 + -4x = -13 Add '49' to each side of the equation. -49 + 49 + -4x = -13 + 49 Combine like terms: -49 + 49 = 0 0 + -4x = -13 + 49 -4x = -13 + 49 Combine like terms: -13 + 49 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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