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Simplifying 19x + 3 = 4(3x + -1) + 7x + 7 Reorder the terms: 3 + 19x = 4(3x + -1) + 7x + 7 Reorder the terms: 3 + 19x = 4(-1 + 3x) + 7x + 7 3 + 19x = (-1 * 4 + 3x * 4) + 7x + 7 3 + 19x = (-4 + 12x) + 7x + 7 Reorder the terms: 3 + 19x = -4 + 7 + 12x + 7x Combine like terms: -4 + 7 = 3 3 + 19x = 3 + 12x + 7x Combine like terms: 12x + 7x = 19x 3 + 19x = 3 + 19x Add '-3' to each side of the equation. 3 + -3 + 19x = 3 + -3 + 19x Combine like terms: 3 + -3 = 0 0 + 19x = 3 + -3 + 19x 19x = 3 + -3 + 19x Combine like terms: 3 + -3 = 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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