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Simplifying 4x + 19 = 7x + -3(x + -3) + 10 Reorder the terms: 19 + 4x = 7x + -3(x + -3) + 10 Reorder the terms: 19 + 4x = 7x + -3(-3 + x) + 10 19 + 4x = 7x + (-3 * -3 + x * -3) + 10 19 + 4x = 7x + (9 + -3x) + 10 Reorder the terms: 19 + 4x = 9 + 10 + 7x + -3x Combine like terms: 9 + 10 = 19 19 + 4x = 19 + 7x + -3x Combine like terms: 7x + -3x = 4x 19 + 4x = 19 + 4x Add '-19' to each side of the equation. 19 + -19 + 4x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 0 + 4x = 19 + -19 + 4x 4x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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