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Simplifying -4(4x + -7) = -1(x + -5) Reorder the terms: -4(-7 + 4x) = -1(x + -5) (-7 * -4 + 4x * -4) = -1(x + -5) (28 + -16x) = -1(x + -5) Reorder the terms: 28 + -16x = -1(-5 + x) 28 + -16x = (-5 * -1 + x * -1) 28 + -16x = (5 + -1x) Solving 28 + -16x = 5 + -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. 28 + -16x + x = 5 + -1x + x Combine like terms: -16x + x = -15x 28 + -15x = 5 + -1x + x Combine like terms: -1x + x = 0 28 + -15x = 5 + 0 28 + -15x = 5 Add '-28' to each side of the equation. 28 + -28 + -15x = 5 + -28 Combine like terms: 28 + -28 = 0 0 + -15x = 5 + -28 -15x = 5 + -28 Combine like terms: 5 + -28 = -23 -15x = -23 Divide each side by '-15'. x = 1.533333333 Simplifying x = 1.533333333
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