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Simplifying 2(3x + -4) + -7x = 2(3x + (-4)) + (-7x) Reorder the terms: 2(-4 + 3x) + -7x = 2(3x + (-4)) + (-7x) (-4 * 2 + 3x * 2) + -7x = 2(3x + (-4)) + (-7x) (-8 + 6x) + -7x = 2(3x + (-4)) + (-7x) Combine like terms: 6x + -7x = -1x -8 + -1x = 2(3x + (-4)) + (-7x) -8 + -1x = 2(3x + -4) + (-7x) Reorder the terms: -8 + -1x = 2(-4 + 3x) + (-7x) -8 + -1x = (-4 * 2 + 3x * 2) + (-7x) -8 + -1x = (-8 + 6x) + (-7x) Combine like terms: 6x + (-7x) = -1x -8 + -1x = -8 + -1x Add '8' to each side of the equation. -8 + 8 + -1x = -8 + 8 + -1x Combine like terms: -8 + 8 = 0 0 + -1x = -8 + 8 + -1x -1x = -8 + 8 + -1x Combine like terms: -8 + 8 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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