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Simplifying 5(2 + x) + 2 = 4(x + -1) + 5x (2 * 5 + x * 5) + 2 = 4(x + -1) + 5x (10 + 5x) + 2 = 4(x + -1) + 5x Reorder the terms: 10 + 2 + 5x = 4(x + -1) + 5x Combine like terms: 10 + 2 = 12 12 + 5x = 4(x + -1) + 5x Reorder the terms: 12 + 5x = 4(-1 + x) + 5x 12 + 5x = (-1 * 4 + x * 4) + 5x 12 + 5x = (-4 + 4x) + 5x Combine like terms: 4x + 5x = 9x 12 + 5x = -4 + 9x Solving 12 + 5x = -4 + 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. 12 + 5x + -9x = -4 + 9x + -9x Combine like terms: 5x + -9x = -4x 12 + -4x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -4x = -4 + 0 12 + -4x = -4 Add '-12' to each side of the equation. 12 + -12 + -4x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -4 + -12 -4x = -4 + -12 Combine like terms: -4 + -12 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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