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Simplifying 19x + -23 = 3(4x + -6) + 7x + -5 Reorder the terms: -23 + 19x = 3(4x + -6) + 7x + -5 Reorder the terms: -23 + 19x = 3(-6 + 4x) + 7x + -5 -23 + 19x = (-6 * 3 + 4x * 3) + 7x + -5 -23 + 19x = (-18 + 12x) + 7x + -5 Reorder the terms: -23 + 19x = -18 + -5 + 12x + 7x Combine like terms: -18 + -5 = -23 -23 + 19x = -23 + 12x + 7x Combine like terms: 12x + 7x = 19x -23 + 19x = -23 + 19x Add '23' to each side of the equation. -23 + 23 + 19x = -23 + 23 + 19x Combine like terms: -23 + 23 = 0 0 + 19x = -23 + 23 + 19x 19x = -23 + 23 + 19x Combine like terms: -23 + 23 = 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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