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Simplifying 4(x + 6) + -24 = -3(x + -3) + 33 Reorder the terms: 4(6 + x) + -24 = -3(x + -3) + 33 (6 * 4 + x * 4) + -24 = -3(x + -3) + 33 (24 + 4x) + -24 = -3(x + -3) + 33 Reorder the terms: 24 + -24 + 4x = -3(x + -3) + 33 Combine like terms: 24 + -24 = 0 0 + 4x = -3(x + -3) + 33 4x = -3(x + -3) + 33 Reorder the terms: 4x = -3(-3 + x) + 33 4x = (-3 * -3 + x * -3) + 33 4x = (9 + -3x) + 33 Reorder the terms: 4x = 9 + 33 + -3x Combine like terms: 9 + 33 = 42 4x = 42 + -3x Solving 4x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4x + 3x = 42 + -3x + 3x Combine like terms: 4x + 3x = 7x 7x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 7x = 42 + 0 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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