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Simplifying 7(x + -9) = 5(x + -11) + 2(x + -4) Reorder the terms: 7(-9 + x) = 5(x + -11) + 2(x + -4) (-9 * 7 + x * 7) = 5(x + -11) + 2(x + -4) (-63 + 7x) = 5(x + -11) + 2(x + -4) Reorder the terms: -63 + 7x = 5(-11 + x) + 2(x + -4) -63 + 7x = (-11 * 5 + x * 5) + 2(x + -4) -63 + 7x = (-55 + 5x) + 2(x + -4) Reorder the terms: -63 + 7x = -55 + 5x + 2(-4 + x) -63 + 7x = -55 + 5x + (-4 * 2 + x * 2) -63 + 7x = -55 + 5x + (-8 + 2x) Reorder the terms: -63 + 7x = -55 + -8 + 5x + 2x Combine like terms: -55 + -8 = -63 -63 + 7x = -63 + 5x + 2x Combine like terms: 5x + 2x = 7x -63 + 7x = -63 + 7x Add '63' to each side of the equation. -63 + 63 + 7x = -63 + 63 + 7x Combine like terms: -63 + 63 = 0 0 + 7x = -63 + 63 + 7x 7x = -63 + 63 + 7x Combine like terms: -63 + 63 = 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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