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