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Simplifying 30(4x + -7) + -88x = -7(11 + -5x) + -3x + -133 Reorder the terms: 30(-7 + 4x) + -88x = -7(11 + -5x) + -3x + -133 (-7 * 30 + 4x * 30) + -88x = -7(11 + -5x) + -3x + -133 (-210 + 120x) + -88x = -7(11 + -5x) + -3x + -133 Combine like terms: 120x + -88x = 32x -210 + 32x = -7(11 + -5x) + -3x + -133 -210 + 32x = (11 * -7 + -5x * -7) + -3x + -133 -210 + 32x = (-77 + 35x) + -3x + -133 Reorder the terms: -210 + 32x = -77 + -133 + 35x + -3x Combine like terms: -77 + -133 = -210 -210 + 32x = -210 + 35x + -3x Combine like terms: 35x + -3x = 32x -210 + 32x = -210 + 32x Add '210' to each side of the equation. -210 + 210 + 32x = -210 + 210 + 32x Combine like terms: -210 + 210 = 0 0 + 32x = -210 + 210 + 32x 32x = -210 + 210 + 32x Combine like terms: -210 + 210 = 0 32x = 0 + 32x 32x = 32x Add '-32x' to each side of the equation. 32x + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 0 = 32x + -32x Combine like terms: 32x + -32x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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