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Simplifying -1(x + 20) = 7(x + -3) Reorder the terms: -1(20 + x) = 7(x + -3) (20 * -1 + x * -1) = 7(x + -3) (-20 + -1x) = 7(x + -3) Reorder the terms: -20 + -1x = 7(-3 + x) -20 + -1x = (-3 * 7 + x * 7) -20 + -1x = (-21 + 7x) Solving -20 + -1x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + -1x + -7x = -21 + 7x + -7x Combine like terms: -1x + -7x = -8x -20 + -8x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -8x = -21 + 0 -20 + -8x = -21 Add '20' to each side of the equation. -20 + 20 + -8x = -21 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = -21 + 20 -8x = -21 + 20 Combine like terms: -21 + 20 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125
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