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Simplifying 5(x + 3) + -8 = 2x + -11 Reorder the terms: 5(3 + x) + -8 = 2x + -11 (3 * 5 + x * 5) + -8 = 2x + -11 (15 + 5x) + -8 = 2x + -11 Reorder the terms: 15 + -8 + 5x = 2x + -11 Combine like terms: 15 + -8 = 7 7 + 5x = 2x + -11 Reorder the terms: 7 + 5x = -11 + 2x Solving 7 + 5x = -11 + 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. 7 + 5x + -2x = -11 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = -11 + 0 7 + 3x = -11 Add '-7' to each side of the equation. 7 + -7 + 3x = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -11 + -7 3x = -11 + -7 Combine like terms: -11 + -7 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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