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Simplifying 9(x + 4) + -6(x + -2) = 3(x + 16) Reorder the terms: 9(4 + x) + -6(x + -2) = 3(x + 16) (4 * 9 + x * 9) + -6(x + -2) = 3(x + 16) (36 + 9x) + -6(x + -2) = 3(x + 16) Reorder the terms: 36 + 9x + -6(-2 + x) = 3(x + 16) 36 + 9x + (-2 * -6 + x * -6) = 3(x + 16) 36 + 9x + (12 + -6x) = 3(x + 16) Reorder the terms: 36 + 12 + 9x + -6x = 3(x + 16) Combine like terms: 36 + 12 = 48 48 + 9x + -6x = 3(x + 16) Combine like terms: 9x + -6x = 3x 48 + 3x = 3(x + 16) Reorder the terms: 48 + 3x = 3(16 + x) 48 + 3x = (16 * 3 + x * 3) 48 + 3x = (48 + 3x) Add '-48' to each side of the equation. 48 + -48 + 3x = 48 + -48 + 3x Combine like terms: 48 + -48 = 0 0 + 3x = 48 + -48 + 3x 3x = 48 + -48 + 3x Combine like terms: 48 + -48 = 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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