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Simplifying 5(x + 6) + 6 = 7x + -4 Reorder the terms: 5(6 + x) + 6 = 7x + -4 (6 * 5 + x * 5) + 6 = 7x + -4 (30 + 5x) + 6 = 7x + -4 Reorder the terms: 30 + 6 + 5x = 7x + -4 Combine like terms: 30 + 6 = 36 36 + 5x = 7x + -4 Reorder the terms: 36 + 5x = -4 + 7x Solving 36 + 5x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 5x + -7x = -4 + 7x + -7x Combine like terms: 5x + -7x = -2x 36 + -2x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + -2x = -4 + 0 36 + -2x = -4 Add '-36' to each side of the equation. 36 + -36 + -2x = -4 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -4 + -36 -2x = -4 + -36 Combine like terms: -4 + -36 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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