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Simplifying 9x + 5(2x + 11) = 3(x + 21) + 2(8x + -4) Reorder the terms: 9x + 5(11 + 2x) = 3(x + 21) + 2(8x + -4) 9x + (11 * 5 + 2x * 5) = 3(x + 21) + 2(8x + -4) 9x + (55 + 10x) = 3(x + 21) + 2(8x + -4) Reorder the terms: 55 + 9x + 10x = 3(x + 21) + 2(8x + -4) Combine like terms: 9x + 10x = 19x 55 + 19x = 3(x + 21) + 2(8x + -4) Reorder the terms: 55 + 19x = 3(21 + x) + 2(8x + -4) 55 + 19x = (21 * 3 + x * 3) + 2(8x + -4) 55 + 19x = (63 + 3x) + 2(8x + -4) Reorder the terms: 55 + 19x = 63 + 3x + 2(-4 + 8x) 55 + 19x = 63 + 3x + (-4 * 2 + 8x * 2) 55 + 19x = 63 + 3x + (-8 + 16x) Reorder the terms: 55 + 19x = 63 + -8 + 3x + 16x Combine like terms: 63 + -8 = 55 55 + 19x = 55 + 3x + 16x Combine like terms: 3x + 16x = 19x 55 + 19x = 55 + 19x Add '-55' to each side of the equation. 55 + -55 + 19x = 55 + -55 + 19x Combine like terms: 55 + -55 = 0 0 + 19x = 55 + -55 + 19x 19x = 55 + -55 + 19x Combine like terms: 55 + -55 = 0 19x = 0 + 19x 19x = 19x Add '-19x' to each side of the equation. 19x + -19x = 19x + -19x Combine like terms: 19x + -19x = 0 0 = 19x + -19x Combine like terms: 19x + -19x = 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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