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Simplifying 3 + -4(x + 4) = 7x + -24 Reorder the terms: 3 + -4(4 + x) = 7x + -24 3 + (4 * -4 + x * -4) = 7x + -24 3 + (-16 + -4x) = 7x + -24 Combine like terms: 3 + -16 = -13 -13 + -4x = 7x + -24 Reorder the terms: -13 + -4x = -24 + 7x Solving -13 + -4x = -24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + -4x + -7x = -24 + 7x + -7x Combine like terms: -4x + -7x = -11x -13 + -11x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -11x = -24 + 0 -13 + -11x = -24 Add '13' to each side of the equation. -13 + 13 + -11x = -24 + 13 Combine like terms: -13 + 13 = 0 0 + -11x = -24 + 13 -11x = -24 + 13 Combine like terms: -24 + 13 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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