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Simplifying 3(x + 21) + 2(x + -4) = 5(x + 11) Reorder the terms: 3(21 + x) + 2(x + -4) = 5(x + 11) (21 * 3 + x * 3) + 2(x + -4) = 5(x + 11) (63 + 3x) + 2(x + -4) = 5(x + 11) Reorder the terms: 63 + 3x + 2(-4 + x) = 5(x + 11) 63 + 3x + (-4 * 2 + x * 2) = 5(x + 11) 63 + 3x + (-8 + 2x) = 5(x + 11) Reorder the terms: 63 + -8 + 3x + 2x = 5(x + 11) Combine like terms: 63 + -8 = 55 55 + 3x + 2x = 5(x + 11) Combine like terms: 3x + 2x = 5x 55 + 5x = 5(x + 11) Reorder the terms: 55 + 5x = 5(11 + x) 55 + 5x = (11 * 5 + x * 5) 55 + 5x = (55 + 5x) Add '-55' to each side of the equation. 55 + -55 + 5x = 55 + -55 + 5x Combine like terms: 55 + -55 = 0 0 + 5x = 55 + -55 + 5x 5x = 55 + -55 + 5x Combine like terms: 55 + -55 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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