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Simplifying 5(-2x + 7) + -1(3x + 22) = 0 Reorder the terms: 5(7 + -2x) + -1(3x + 22) = 0 (7 * 5 + -2x * 5) + -1(3x + 22) = 0 (35 + -10x) + -1(3x + 22) = 0 Reorder the terms: 35 + -10x + -1(22 + 3x) = 0 35 + -10x + (22 * -1 + 3x * -1) = 0 35 + -10x + (-22 + -3x) = 0 Reorder the terms: 35 + -22 + -10x + -3x = 0 Combine like terms: 35 + -22 = 13 13 + -10x + -3x = 0 Combine like terms: -10x + -3x = -13x 13 + -13x = 0 Solving 13 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -13x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = 0 + -13 -13x = 0 + -13 Combine like terms: 0 + -13 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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