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Simplifying 5(x + 6) + -3 = x + 10 Reorder the terms: 5(6 + x) + -3 = x + 10 (6 * 5 + x * 5) + -3 = x + 10 (30 + 5x) + -3 = x + 10 Reorder the terms: 30 + -3 + 5x = x + 10 Combine like terms: 30 + -3 = 27 27 + 5x = x + 10 Reorder the terms: 27 + 5x = 10 + x Solving 27 + 5x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 5x + -1x = 10 + x + -1x Combine like terms: 5x + -1x = 4x 27 + 4x = 10 + x + -1x Combine like terms: x + -1x = 0 27 + 4x = 10 + 0 27 + 4x = 10 Add '-27' to each side of the equation. 27 + -27 + 4x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 10 + -27 4x = 10 + -27 Combine like terms: 10 + -27 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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