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Simplifying 1 + -5(x + 6) = 20 + 2x Reorder the terms: 1 + -5(6 + x) = 20 + 2x 1 + (6 * -5 + x * -5) = 20 + 2x 1 + (-30 + -5x) = 20 + 2x Combine like terms: 1 + -30 = -29 -29 + -5x = 20 + 2x Solving -29 + -5x = 20 + 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. -29 + -5x + -2x = 20 + 2x + -2x Combine like terms: -5x + -2x = -7x -29 + -7x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + -7x = 20 + 0 -29 + -7x = 20 Add '29' to each side of the equation. -29 + 29 + -7x = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -7x = 20 + 29 -7x = 20 + 29 Combine like terms: 20 + 29 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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