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Simplifying 10(-3x + 1) = -12(x + 2) + 34 + -18x Reorder the terms: 10(1 + -3x) = -12(x + 2) + 34 + -18x (1 * 10 + -3x * 10) = -12(x + 2) + 34 + -18x (10 + -30x) = -12(x + 2) + 34 + -18x Reorder the terms: 10 + -30x = -12(2 + x) + 34 + -18x 10 + -30x = (2 * -12 + x * -12) + 34 + -18x 10 + -30x = (-24 + -12x) + 34 + -18x Reorder the terms: 10 + -30x = -24 + 34 + -12x + -18x Combine like terms: -24 + 34 = 10 10 + -30x = 10 + -12x + -18x Combine like terms: -12x + -18x = -30x 10 + -30x = 10 + -30x Add '-10' to each side of the equation. 10 + -10 + -30x = 10 + -10 + -30x Combine like terms: 10 + -10 = 0 0 + -30x = 10 + -10 + -30x -30x = 10 + -10 + -30x Combine like terms: 10 + -10 = 0 -30x = 0 + -30x -30x = -30x Add '30x' to each side of the equation. -30x + 30x = -30x + 30x Combine like terms: -30x + 30x = 0 0 = -30x + 30x Combine like terms: -30x + 30x = 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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