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Simplifying 4(6x + 3) = 4(4x + -3) Reorder the terms: 4(3 + 6x) = 4(4x + -3) (3 * 4 + 6x * 4) = 4(4x + -3) (12 + 24x) = 4(4x + -3) Reorder the terms: 12 + 24x = 4(-3 + 4x) 12 + 24x = (-3 * 4 + 4x * 4) 12 + 24x = (-12 + 16x) Solving 12 + 24x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 24x + -16x = -12 + 16x + -16x Combine like terms: 24x + -16x = 8x 12 + 8x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + 8x = -12 + 0 12 + 8x = -12 Add '-12' to each side of the equation. 12 + -12 + 8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -12 + -12 8x = -12 + -12 Combine like terms: -12 + -12 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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