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Simplifying 5x + 6 = 2(-6 + 4x) Reorder the terms: 6 + 5x = 2(-6 + 4x) 6 + 5x = (-6 * 2 + 4x * 2) 6 + 5x = (-12 + 8x) Solving 6 + 5x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 5x + -8x = -12 + 8x + -8x Combine like terms: 5x + -8x = -3x 6 + -3x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -3x = -12 + 0 6 + -3x = -12 Add '-6' to each side of the equation. 6 + -6 + -3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -12 + -6 -3x = -12 + -6 Combine like terms: -12 + -6 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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