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Simplifying 12(-2x + 1) = -14(x + 2) + 40 + -10x Reorder the terms: 12(1 + -2x) = -14(x + 2) + 40 + -10x (1 * 12 + -2x * 12) = -14(x + 2) + 40 + -10x (12 + -24x) = -14(x + 2) + 40 + -10x Reorder the terms: 12 + -24x = -14(2 + x) + 40 + -10x 12 + -24x = (2 * -14 + x * -14) + 40 + -10x 12 + -24x = (-28 + -14x) + 40 + -10x Reorder the terms: 12 + -24x = -28 + 40 + -14x + -10x Combine like terms: -28 + 40 = 12 12 + -24x = 12 + -14x + -10x Combine like terms: -14x + -10x = -24x 12 + -24x = 12 + -24x Add '-12' to each side of the equation. 12 + -12 + -24x = 12 + -12 + -24x Combine like terms: 12 + -12 = 0 0 + -24x = 12 + -12 + -24x -24x = 12 + -12 + -24x Combine like terms: 12 + -12 = 0 -24x = 0 + -24x -24x = -24x Add '24x' to each side of the equation. -24x + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 0 = -24x + 24x Combine like terms: -24x + 24x = 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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