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Simplifying 5x + 6 + 2x + 9 = 2(x + -4) + 8 + 2x Reorder the terms: 6 + 9 + 5x + 2x = 2(x + -4) + 8 + 2x Combine like terms: 6 + 9 = 15 15 + 5x + 2x = 2(x + -4) + 8 + 2x Combine like terms: 5x + 2x = 7x 15 + 7x = 2(x + -4) + 8 + 2x Reorder the terms: 15 + 7x = 2(-4 + x) + 8 + 2x 15 + 7x = (-4 * 2 + x * 2) + 8 + 2x 15 + 7x = (-8 + 2x) + 8 + 2x Reorder the terms: 15 + 7x = -8 + 8 + 2x + 2x Combine like terms: -8 + 8 = 0 15 + 7x = 0 + 2x + 2x 15 + 7x = 2x + 2x Combine like terms: 2x + 2x = 4x 15 + 7x = 4x Solving 15 + 7x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 15 + 3x = 4x + -4x Combine like terms: 4x + -4x = 0 15 + 3x = 0 Add '-15' to each side of the equation. 15 + -15 + 3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 0 + -15 3x = 0 + -15 Combine like terms: 0 + -15 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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