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Simplifying 6(x + 5) + 3 = 2(x + 4) + 4(x + 7) + -3 Reorder the terms: 6(5 + x) + 3 = 2(x + 4) + 4(x + 7) + -3 (5 * 6 + x * 6) + 3 = 2(x + 4) + 4(x + 7) + -3 (30 + 6x) + 3 = 2(x + 4) + 4(x + 7) + -3 Reorder the terms: 30 + 3 + 6x = 2(x + 4) + 4(x + 7) + -3 Combine like terms: 30 + 3 = 33 33 + 6x = 2(x + 4) + 4(x + 7) + -3 Reorder the terms: 33 + 6x = 2(4 + x) + 4(x + 7) + -3 33 + 6x = (4 * 2 + x * 2) + 4(x + 7) + -3 33 + 6x = (8 + 2x) + 4(x + 7) + -3 Reorder the terms: 33 + 6x = 8 + 2x + 4(7 + x) + -3 33 + 6x = 8 + 2x + (7 * 4 + x * 4) + -3 33 + 6x = 8 + 2x + (28 + 4x) + -3 Reorder the terms: 33 + 6x = 8 + 28 + -3 + 2x + 4x Combine like terms: 8 + 28 = 36 33 + 6x = 36 + -3 + 2x + 4x Combine like terms: 36 + -3 = 33 33 + 6x = 33 + 2x + 4x Combine like terms: 2x + 4x = 6x 33 + 6x = 33 + 6x Add '-33' to each side of the equation. 33 + -33 + 6x = 33 + -33 + 6x Combine like terms: 33 + -33 = 0 0 + 6x = 33 + -33 + 6x 6x = 33 + -33 + 6x Combine like terms: 33 + -33 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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