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Simplifying 5(x + 6) + -3 = 2x + 3 Reorder the terms: 5(6 + x) + -3 = 2x + 3 (6 * 5 + x * 5) + -3 = 2x + 3 (30 + 5x) + -3 = 2x + 3 Reorder the terms: 30 + -3 + 5x = 2x + 3 Combine like terms: 30 + -3 = 27 27 + 5x = 2x + 3 Reorder the terms: 27 + 5x = 3 + 2x Solving 27 + 5x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x 27 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 3x = 3 + 0 27 + 3x = 3 Add '-27' to each side of the equation. 27 + -27 + 3x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 3 + -27 3x = 3 + -27 Combine like terms: 3 + -27 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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