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Simplifying 4(x + -7) = 5x + -1(6 + -1x) Reorder the terms: 4(-7 + x) = 5x + -1(6 + -1x) (-7 * 4 + x * 4) = 5x + -1(6 + -1x) (-28 + 4x) = 5x + -1(6 + -1x) -28 + 4x = 5x + (6 * -1 + -1x * -1) -28 + 4x = 5x + (-6 + 1x) Reorder the terms: -28 + 4x = -6 + 5x + 1x Combine like terms: 5x + 1x = 6x -28 + 4x = -6 + 6x Solving -28 + 4x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x -28 + -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -2x = -6 + 0 -28 + -2x = -6 Add '28' to each side of the equation. -28 + 28 + -2x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -6 + 28 -2x = -6 + 28 Combine like terms: -6 + 28 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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