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Simplifying -4(x + -10) = -1(x + -7) Reorder the terms: -4(-10 + x) = -1(x + -7) (-10 * -4 + x * -4) = -1(x + -7) (40 + -4x) = -1(x + -7) Reorder the terms: 40 + -4x = -1(-7 + x) 40 + -4x = (-7 * -1 + x * -1) 40 + -4x = (7 + -1x) Solving 40 + -4x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + -4x + x = 7 + -1x + x Combine like terms: -4x + x = -3x 40 + -3x = 7 + -1x + x Combine like terms: -1x + x = 0 40 + -3x = 7 + 0 40 + -3x = 7 Add '-40' to each side of the equation. 40 + -40 + -3x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 7 + -40 -3x = 7 + -40 Combine like terms: 7 + -40 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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