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Simplifying 7(2 + -1x) + 5 = -2(x + -20) + -1 (2 * 7 + -1x * 7) + 5 = -2(x + -20) + -1 (14 + -7x) + 5 = -2(x + -20) + -1 Reorder the terms: 14 + 5 + -7x = -2(x + -20) + -1 Combine like terms: 14 + 5 = 19 19 + -7x = -2(x + -20) + -1 Reorder the terms: 19 + -7x = -2(-20 + x) + -1 19 + -7x = (-20 * -2 + x * -2) + -1 19 + -7x = (40 + -2x) + -1 Reorder the terms: 19 + -7x = 40 + -1 + -2x Combine like terms: 40 + -1 = 39 19 + -7x = 39 + -2x Solving 19 + -7x = 39 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + -7x + 2x = 39 + -2x + 2x Combine like terms: -7x + 2x = -5x 19 + -5x = 39 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + -5x = 39 + 0 19 + -5x = 39 Add '-19' to each side of the equation. 19 + -19 + -5x = 39 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 39 + -19 -5x = 39 + -19 Combine like terms: 39 + -19 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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