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Simplifying -4(3x + -1) + 9x + -11 = 1 + -15x + 4(3x + -2) Reorder the terms: -4(-1 + 3x) + 9x + -11 = 1 + -15x + 4(3x + -2) (-1 * -4 + 3x * -4) + 9x + -11 = 1 + -15x + 4(3x + -2) (4 + -12x) + 9x + -11 = 1 + -15x + 4(3x + -2) Reorder the terms: 4 + -11 + -12x + 9x = 1 + -15x + 4(3x + -2) Combine like terms: 4 + -11 = -7 -7 + -12x + 9x = 1 + -15x + 4(3x + -2) Combine like terms: -12x + 9x = -3x -7 + -3x = 1 + -15x + 4(3x + -2) Reorder the terms: -7 + -3x = 1 + -15x + 4(-2 + 3x) -7 + -3x = 1 + -15x + (-2 * 4 + 3x * 4) -7 + -3x = 1 + -15x + (-8 + 12x) Reorder the terms: -7 + -3x = 1 + -8 + -15x + 12x Combine like terms: 1 + -8 = -7 -7 + -3x = -7 + -15x + 12x Combine like terms: -15x + 12x = -3x -7 + -3x = -7 + -3x Add '7' to each side of the equation. -7 + 7 + -3x = -7 + 7 + -3x Combine like terms: -7 + 7 = 0 0 + -3x = -7 + 7 + -3x -3x = -7 + 7 + -3x Combine like terms: -7 + 7 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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