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Simplifying 4(x + 1) + -5(6 + -1x) = 3(3x + -7) + -5 Reorder the terms: 4(1 + x) + -5(6 + -1x) = 3(3x + -7) + -5 (1 * 4 + x * 4) + -5(6 + -1x) = 3(3x + -7) + -5 (4 + 4x) + -5(6 + -1x) = 3(3x + -7) + -5 4 + 4x + (6 * -5 + -1x * -5) = 3(3x + -7) + -5 4 + 4x + (-30 + 5x) = 3(3x + -7) + -5 Reorder the terms: 4 + -30 + 4x + 5x = 3(3x + -7) + -5 Combine like terms: 4 + -30 = -26 -26 + 4x + 5x = 3(3x + -7) + -5 Combine like terms: 4x + 5x = 9x -26 + 9x = 3(3x + -7) + -5 Reorder the terms: -26 + 9x = 3(-7 + 3x) + -5 -26 + 9x = (-7 * 3 + 3x * 3) + -5 -26 + 9x = (-21 + 9x) + -5 Reorder the terms: -26 + 9x = -21 + -5 + 9x Combine like terms: -21 + -5 = -26 -26 + 9x = -26 + 9x Add '26' to each side of the equation. -26 + 26 + 9x = -26 + 26 + 9x Combine like terms: -26 + 26 = 0 0 + 9x = -26 + 26 + 9x 9x = -26 + 26 + 9x Combine like terms: -26 + 26 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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