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Simplifying -7 = -4(x + -3) + -1(-5x + -7) Reorder the terms: -7 = -4(-3 + x) + -1(-5x + -7) -7 = (-3 * -4 + x * -4) + -1(-5x + -7) -7 = (12 + -4x) + -1(-5x + -7) Reorder the terms: -7 = 12 + -4x + -1(-7 + -5x) -7 = 12 + -4x + (-7 * -1 + -5x * -1) -7 = 12 + -4x + (7 + 5x) Reorder the terms: -7 = 12 + 7 + -4x + 5x Combine like terms: 12 + 7 = 19 -7 = 19 + -4x + 5x Combine like terms: -4x + 5x = 1x -7 = 19 + 1x Solving -7 = 19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -1x = 19 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -1x = 19 + 0 -7 + -1x = 19 Add '7' to each side of the equation. -7 + 7 + -1x = 19 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 19 + 7 -1x = 19 + 7 Combine like terms: 19 + 7 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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