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Simplifying 4x * 4x + -24 = 4x(4x + -6) Reorder the terms for easier multiplication: 4 * 4x * x + -24 = 4x(4x + -6) Multiply 4 * 4 16x * x + -24 = 4x(4x + -6) Multiply x * x 16x2 + -24 = 4x(4x + -6) Reorder the terms: -24 + 16x2 = 4x(4x + -6) Reorder the terms: -24 + 16x2 = 4x(-6 + 4x) -24 + 16x2 = (-6 * 4x + 4x * 4x) -24 + 16x2 = (-24x + 16x2) Add '-16x2' to each side of the equation. -24 + 16x2 + -16x2 = -24x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -24 + 0 = -24x + 16x2 + -16x2 -24 = -24x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -24 = -24x + 0 -24 = -24x Solving -24 = -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. -24 + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 -24 + 24x = 0 Add '24' to each side of the equation. -24 + 24 + 24x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 0 + 24 24x = 0 + 24 Combine like terms: 0 + 24 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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