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Simplifying 7(x + 5) + -2 = 4x + 6 Reorder the terms: 7(5 + x) + -2 = 4x + 6 (5 * 7 + x * 7) + -2 = 4x + 6 (35 + 7x) + -2 = 4x + 6 Reorder the terms: 35 + -2 + 7x = 4x + 6 Combine like terms: 35 + -2 = 33 33 + 7x = 4x + 6 Reorder the terms: 33 + 7x = 6 + 4x Solving 33 + 7x = 6 + 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. 33 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x 33 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + 3x = 6 + 0 33 + 3x = 6 Add '-33' to each side of the equation. 33 + -33 + 3x = 6 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 6 + -33 3x = 6 + -33 Combine like terms: 6 + -33 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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