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Simplifying 19x + 11 = 4(4x + 5) + 3x + -9 Reorder the terms: 11 + 19x = 4(4x + 5) + 3x + -9 Reorder the terms: 11 + 19x = 4(5 + 4x) + 3x + -9 11 + 19x = (5 * 4 + 4x * 4) + 3x + -9 11 + 19x = (20 + 16x) + 3x + -9 Reorder the terms: 11 + 19x = 20 + -9 + 16x + 3x Combine like terms: 20 + -9 = 11 11 + 19x = 11 + 16x + 3x Combine like terms: 16x + 3x = 19x 11 + 19x = 11 + 19x Add '-11' to each side of the equation. 11 + -11 + 19x = 11 + -11 + 19x Combine like terms: 11 + -11 = 0 0 + 19x = 11 + -11 + 19x 19x = 11 + -11 + 19x Combine like terms: 11 + -11 = 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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