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Simplifying 4(x + -7) = 7(x + -1) Reorder the terms: 4(-7 + x) = 7(x + -1) (-7 * 4 + x * 4) = 7(x + -1) (-28 + 4x) = 7(x + -1) Reorder the terms: -28 + 4x = 7(-1 + x) -28 + 4x = (-1 * 7 + x * 7) -28 + 4x = (-7 + 7x) Solving -28 + 4x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -28 + 4x + -7x = -7 + 7x + -7x Combine like terms: 4x + -7x = -3x -28 + -3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + -3x = -7 + 0 -28 + -3x = -7 Add '28' to each side of the equation. -28 + 28 + -3x = -7 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = -7 + 28 -3x = -7 + 28 Combine like terms: -7 + 28 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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