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Simplifying 4(x + 6) = 3x + -7 Reorder the terms: 4(6 + x) = 3x + -7 (6 * 4 + x * 4) = 3x + -7 (24 + 4x) = 3x + -7 Reorder the terms: 24 + 4x = -7 + 3x Solving 24 + 4x = -7 + 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 = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x 24 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 1x = -7 + 0 24 + 1x = -7 Add '-24' to each side of the equation. 24 + -24 + 1x = -7 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -7 + -24 1x = -7 + -24 Combine like terms: -7 + -24 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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