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Simplifying -3(x + 6) + 24 = 13 + -4x Reorder the terms: -3(6 + x) + 24 = 13 + -4x (6 * -3 + x * -3) + 24 = 13 + -4x (-18 + -3x) + 24 = 13 + -4x Reorder the terms: -18 + 24 + -3x = 13 + -4x Combine like terms: -18 + 24 = 6 6 + -3x = 13 + -4x Solving 6 + -3x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -3x + 4x = 13 + -4x + 4x Combine like terms: -3x + 4x = 1x 6 + 1x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 1x = 13 + 0 6 + 1x = 13 Add '-6' to each side of the equation. 6 + -6 + 1x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 13 + -6 1x = 13 + -6 Combine like terms: 13 + -6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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