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Simplifying 14x + 5(3 + -2x) = 6 + x 14x + (3 * 5 + -2x * 5) = 6 + x 14x + (15 + -10x) = 6 + x Reorder the terms: 15 + 14x + -10x = 6 + x Combine like terms: 14x + -10x = 4x 15 + 4x = 6 + x Solving 15 + 4x = 6 + 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. 15 + 4x + -1x = 6 + x + -1x Combine like terms: 4x + -1x = 3x 15 + 3x = 6 + x + -1x Combine like terms: x + -1x = 0 15 + 3x = 6 + 0 15 + 3x = 6 Add '-15' to each side of the equation. 15 + -15 + 3x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 6 + -15 3x = 6 + -15 Combine like terms: 6 + -15 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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