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Simplifying 22 + -7(x + 3) + 5x = 10 Reorder the terms: 22 + -7(3 + x) + 5x = 10 22 + (3 * -7 + x * -7) + 5x = 10 22 + (-21 + -7x) + 5x = 10 Combine like terms: 22 + -21 = 1 1 + -7x + 5x = 10 Combine like terms: -7x + 5x = -2x 1 + -2x = 10 Solving 1 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 10 + -1 -2x = 10 + -1 Combine like terms: 10 + -1 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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