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Simplifying 5(3x + -7) = 3(x + -9) + 4(3x + -2) Reorder the terms: 5(-7 + 3x) = 3(x + -9) + 4(3x + -2) (-7 * 5 + 3x * 5) = 3(x + -9) + 4(3x + -2) (-35 + 15x) = 3(x + -9) + 4(3x + -2) Reorder the terms: -35 + 15x = 3(-9 + x) + 4(3x + -2) -35 + 15x = (-9 * 3 + x * 3) + 4(3x + -2) -35 + 15x = (-27 + 3x) + 4(3x + -2) Reorder the terms: -35 + 15x = -27 + 3x + 4(-2 + 3x) -35 + 15x = -27 + 3x + (-2 * 4 + 3x * 4) -35 + 15x = -27 + 3x + (-8 + 12x) Reorder the terms: -35 + 15x = -27 + -8 + 3x + 12x Combine like terms: -27 + -8 = -35 -35 + 15x = -35 + 3x + 12x Combine like terms: 3x + 12x = 15x -35 + 15x = -35 + 15x Add '35' to each side of the equation. -35 + 35 + 15x = -35 + 35 + 15x Combine like terms: -35 + 35 = 0 0 + 15x = -35 + 35 + 15x 15x = -35 + 35 + 15x Combine like terms: -35 + 35 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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