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Simplifying 5x + 2 = 9(x + -2) + 4 Reorder the terms: 2 + 5x = 9(x + -2) + 4 Reorder the terms: 2 + 5x = 9(-2 + x) + 4 2 + 5x = (-2 * 9 + x * 9) + 4 2 + 5x = (-18 + 9x) + 4 Reorder the terms: 2 + 5x = -18 + 4 + 9x Combine like terms: -18 + 4 = -14 2 + 5x = -14 + 9x Solving 2 + 5x = -14 + 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. 2 + 5x + -9x = -14 + 9x + -9x Combine like terms: 5x + -9x = -4x 2 + -4x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -4x = -14 + 0 2 + -4x = -14 Add '-2' to each side of the equation. 2 + -2 + -4x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -14 + -2 -4x = -14 + -2 Combine like terms: -14 + -2 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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