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Simplifying 3(x + 1) + 9 = 6x + -3(-4 + x) Reorder the terms: 3(1 + x) + 9 = 6x + -3(-4 + x) (1 * 3 + x * 3) + 9 = 6x + -3(-4 + x) (3 + 3x) + 9 = 6x + -3(-4 + x) Reorder the terms: 3 + 9 + 3x = 6x + -3(-4 + x) Combine like terms: 3 + 9 = 12 12 + 3x = 6x + -3(-4 + x) 12 + 3x = 6x + (-4 * -3 + x * -3) 12 + 3x = 6x + (12 + -3x) Reorder the terms: 12 + 3x = 12 + 6x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -12 + 3x 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 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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