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Simplifying 5x + 6 = 9(x + -4) + 34 Reorder the terms: 6 + 5x = 9(x + -4) + 34 Reorder the terms: 6 + 5x = 9(-4 + x) + 34 6 + 5x = (-4 * 9 + x * 9) + 34 6 + 5x = (-36 + 9x) + 34 Reorder the terms: 6 + 5x = -36 + 34 + 9x Combine like terms: -36 + 34 = -2 6 + 5x = -2 + 9x Solving 6 + 5x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 5x + -9x = -2 + 9x + -9x Combine like terms: 5x + -9x = -4x 6 + -4x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -4x = -2 + 0 6 + -4x = -2 Add '-6' to each side of the equation. 6 + -6 + -4x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -2 + -6 -4x = -2 + -6 Combine like terms: -2 + -6 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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