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Simplifying 4(x + -3) = 10x + -6(x + 2) Reorder the terms: 4(-3 + x) = 10x + -6(x + 2) (-3 * 4 + x * 4) = 10x + -6(x + 2) (-12 + 4x) = 10x + -6(x + 2) Reorder the terms: -12 + 4x = 10x + -6(2 + x) -12 + 4x = 10x + (2 * -6 + x * -6) -12 + 4x = 10x + (-12 + -6x) Reorder the terms: -12 + 4x = -12 + 10x + -6x Combine like terms: 10x + -6x = 4x -12 + 4x = -12 + 4x Add '12' to each side of the equation. -12 + 12 + 4x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + 4x = -12 + 12 + 4x 4x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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