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Simplifying -4(x + 6) + -3x = -10 + -7(x + 2) Reorder the terms: -4(6 + x) + -3x = -10 + -7(x + 2) (6 * -4 + x * -4) + -3x = -10 + -7(x + 2) (-24 + -4x) + -3x = -10 + -7(x + 2) Combine like terms: -4x + -3x = -7x -24 + -7x = -10 + -7(x + 2) Reorder the terms: -24 + -7x = -10 + -7(2 + x) -24 + -7x = -10 + (2 * -7 + x * -7) -24 + -7x = -10 + (-14 + -7x) Combine like terms: -10 + -14 = -24 -24 + -7x = -24 + -7x Add '24' to each side of the equation. -24 + 24 + -7x = -24 + 24 + -7x Combine like terms: -24 + 24 = 0 0 + -7x = -24 + 24 + -7x -7x = -24 + 24 + -7x Combine like terms: -24 + 24 = 0 -7x = 0 + -7x -7x = -7x Add '7x' to each side of the equation. -7x + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 0 = -7x + 7x Combine like terms: -7x + 7x = 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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