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Simplifying 5(x + 6) + 8 = 7x + -10 Reorder the terms: 5(6 + x) + 8 = 7x + -10 (6 * 5 + x * 5) + 8 = 7x + -10 (30 + 5x) + 8 = 7x + -10 Reorder the terms: 30 + 8 + 5x = 7x + -10 Combine like terms: 30 + 8 = 38 38 + 5x = 7x + -10 Reorder the terms: 38 + 5x = -10 + 7x Solving 38 + 5x = -10 + 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. 38 + 5x + -7x = -10 + 7x + -7x Combine like terms: 5x + -7x = -2x 38 + -2x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -2x = -10 + 0 38 + -2x = -10 Add '-38' to each side of the equation. 38 + -38 + -2x = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = -10 + -38 -2x = -10 + -38 Combine like terms: -10 + -38 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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