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Simplifying 7(4 + -1(3 + -3x)) + 3x = 4(6x + 5) + -13 7(4 + (3 * -1 + -3x * -1)) + 3x = 4(6x + 5) + -13 7(4 + (-3 + 3x)) + 3x = 4(6x + 5) + -13 Combine like terms: 4 + -3 = 1 7(1 + 3x) + 3x = 4(6x + 5) + -13 (1 * 7 + 3x * 7) + 3x = 4(6x + 5) + -13 (7 + 21x) + 3x = 4(6x + 5) + -13 Combine like terms: 21x + 3x = 24x 7 + 24x = 4(6x + 5) + -13 Reorder the terms: 7 + 24x = 4(5 + 6x) + -13 7 + 24x = (5 * 4 + 6x * 4) + -13 7 + 24x = (20 + 24x) + -13 Reorder the terms: 7 + 24x = 20 + -13 + 24x Combine like terms: 20 + -13 = 7 7 + 24x = 7 + 24x Add '-7' to each side of the equation. 7 + -7 + 24x = 7 + -7 + 24x Combine like terms: 7 + -7 = 0 0 + 24x = 7 + -7 + 24x 24x = 7 + -7 + 24x Combine like terms: 7 + -7 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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