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Simplifying 15(x + 3) + -1 = 11(2x + 3) + -10 Reorder the terms: 15(3 + x) + -1 = 11(2x + 3) + -10 (3 * 15 + x * 15) + -1 = 11(2x + 3) + -10 (45 + 15x) + -1 = 11(2x + 3) + -10 Reorder the terms: 45 + -1 + 15x = 11(2x + 3) + -10 Combine like terms: 45 + -1 = 44 44 + 15x = 11(2x + 3) + -10 Reorder the terms: 44 + 15x = 11(3 + 2x) + -10 44 + 15x = (3 * 11 + 2x * 11) + -10 44 + 15x = (33 + 22x) + -10 Reorder the terms: 44 + 15x = 33 + -10 + 22x Combine like terms: 33 + -10 = 23 44 + 15x = 23 + 22x Solving 44 + 15x = 23 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 44 + 15x + -22x = 23 + 22x + -22x Combine like terms: 15x + -22x = -7x 44 + -7x = 23 + 22x + -22x Combine like terms: 22x + -22x = 0 44 + -7x = 23 + 0 44 + -7x = 23 Add '-44' to each side of the equation. 44 + -44 + -7x = 23 + -44 Combine like terms: 44 + -44 = 0 0 + -7x = 23 + -44 -7x = 23 + -44 Combine like terms: 23 + -44 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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