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Simplifying 6(x + 1) + -2 = 4(x + 3) + 2(x + -4) Reorder the terms: 6(1 + x) + -2 = 4(x + 3) + 2(x + -4) (1 * 6 + x * 6) + -2 = 4(x + 3) + 2(x + -4) (6 + 6x) + -2 = 4(x + 3) + 2(x + -4) Reorder the terms: 6 + -2 + 6x = 4(x + 3) + 2(x + -4) Combine like terms: 6 + -2 = 4 4 + 6x = 4(x + 3) + 2(x + -4) Reorder the terms: 4 + 6x = 4(3 + x) + 2(x + -4) 4 + 6x = (3 * 4 + x * 4) + 2(x + -4) 4 + 6x = (12 + 4x) + 2(x + -4) Reorder the terms: 4 + 6x = 12 + 4x + 2(-4 + x) 4 + 6x = 12 + 4x + (-4 * 2 + x * 2) 4 + 6x = 12 + 4x + (-8 + 2x) Reorder the terms: 4 + 6x = 12 + -8 + 4x + 2x Combine like terms: 12 + -8 = 4 4 + 6x = 4 + 4x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = 4 + 6x Add '-4' to each side of the equation. 4 + -4 + 6x = 4 + -4 + 6x Combine like terms: 4 + -4 = 0 0 + 6x = 4 + -4 + 6x 6x = 4 + -4 + 6x Combine like terms: 4 + -4 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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