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Simplifying -5 + -5(x + 7) = -6x + 4(x + -1) Reorder the terms: -5 + -5(7 + x) = -6x + 4(x + -1) -5 + (7 * -5 + x * -5) = -6x + 4(x + -1) -5 + (-35 + -5x) = -6x + 4(x + -1) Combine like terms: -5 + -35 = -40 -40 + -5x = -6x + 4(x + -1) Reorder the terms: -40 + -5x = -6x + 4(-1 + x) -40 + -5x = -6x + (-1 * 4 + x * 4) -40 + -5x = -6x + (-4 + 4x) Reorder the terms: -40 + -5x = -4 + -6x + 4x Combine like terms: -6x + 4x = -2x -40 + -5x = -4 + -2x Solving -40 + -5x = -4 + -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. -40 + -5x + 2x = -4 + -2x + 2x Combine like terms: -5x + 2x = -3x -40 + -3x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + -3x = -4 + 0 -40 + -3x = -4 Add '40' to each side of the equation. -40 + 40 + -3x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = -4 + 40 -3x = -4 + 40 Combine like terms: -4 + 40 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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