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Simplifying 4(x + 5) + -6 = 7 + 3x Reorder the terms: 4(5 + x) + -6 = 7 + 3x (5 * 4 + x * 4) + -6 = 7 + 3x (20 + 4x) + -6 = 7 + 3x Reorder the terms: 20 + -6 + 4x = 7 + 3x Combine like terms: 20 + -6 = 14 14 + 4x = 7 + 3x Solving 14 + 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. 14 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x 14 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 1x = 7 + 0 14 + 1x = 7 Add '-14' to each side of the equation. 14 + -14 + 1x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 7 + -14 1x = 7 + -14 Combine like terms: 7 + -14 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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