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Simplifying -4x + 24 = 3x + -6 Reorder the terms: 24 + -4x = 3x + -6 Reorder the terms: 24 + -4x = -6 + 3x Solving 24 + -4x = -6 + 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. 24 + -4x + -3x = -6 + 3x + -3x Combine like terms: -4x + -3x = -7x 24 + -7x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -7x = -6 + 0 24 + -7x = -6 Add '-24' to each side of the equation. 24 + -24 + -7x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -6 + -24 -7x = -6 + -24 Combine like terms: -6 + -24 = -30 -7x = -30 Divide each side by '-7'. x = 4.285714286 Simplifying x = 4.285714286
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