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Simplifying 24x + -3 = -4(6x + 6) + 21 Reorder the terms: -3 + 24x = -4(6x + 6) + 21 Reorder the terms: -3 + 24x = -4(6 + 6x) + 21 -3 + 24x = (6 * -4 + 6x * -4) + 21 -3 + 24x = (-24 + -24x) + 21 Reorder the terms: -3 + 24x = -24 + 21 + -24x Combine like terms: -24 + 21 = -3 -3 + 24x = -3 + -24x Add '3' to each side of the equation. -3 + 3 + 24x = -3 + 3 + -24x Combine like terms: -3 + 3 = 0 0 + 24x = -3 + 3 + -24x 24x = -3 + 3 + -24x Combine like terms: -3 + 3 = 0 24x = 0 + -24x 24x = -24x Solving 24x = -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. 24x + 24x = -24x + 24x Combine like terms: 24x + 24x = 48x 48x = -24x + 24x Combine like terms: -24x + 24x = 0 48x = 0 Divide each side by '48'. x = 0 Simplifying x = 0
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