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Simplifying 3(2x + 5) + -1x = 4x + 15 + 2x + 1 Reorder the terms: 3(5 + 2x) + -1x = 4x + 15 + 2x + 1 (5 * 3 + 2x * 3) + -1x = 4x + 15 + 2x + 1 (15 + 6x) + -1x = 4x + 15 + 2x + 1 Combine like terms: 6x + -1x = 5x 15 + 5x = 4x + 15 + 2x + 1 Reorder the terms: 15 + 5x = 15 + 1 + 4x + 2x Combine like terms: 15 + 1 = 16 15 + 5x = 16 + 4x + 2x Combine like terms: 4x + 2x = 6x 15 + 5x = 16 + 6x Solving 15 + 5x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 5x + -6x = 16 + 6x + -6x Combine like terms: 5x + -6x = -1x 15 + -1x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -1x = 16 + 0 15 + -1x = 16 Add '-15' to each side of the equation. 15 + -15 + -1x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 16 + -15 -1x = 16 + -15 Combine like terms: 16 + -15 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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