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Simplifying 3x + -1(x + 4) = 2(x + -7) + 10 Reorder the terms: 3x + -1(4 + x) = 2(x + -7) + 10 3x + (4 * -1 + x * -1) = 2(x + -7) + 10 3x + (-4 + -1x) = 2(x + -7) + 10 Reorder the terms: -4 + 3x + -1x = 2(x + -7) + 10 Combine like terms: 3x + -1x = 2x -4 + 2x = 2(x + -7) + 10 Reorder the terms: -4 + 2x = 2(-7 + x) + 10 -4 + 2x = (-7 * 2 + x * 2) + 10 -4 + 2x = (-14 + 2x) + 10 Reorder the terms: -4 + 2x = -14 + 10 + 2x Combine like terms: -14 + 10 = -4 -4 + 2x = -4 + 2x Add '4' to each side of the equation. -4 + 4 + 2x = -4 + 4 + 2x Combine like terms: -4 + 4 = 0 0 + 2x = -4 + 4 + 2x 2x = -4 + 4 + 2x Combine like terms: -4 + 4 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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