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Simplifying 7(3x + 6) + -4(3 + 5x) = 13 + x Reorder the terms: 7(6 + 3x) + -4(3 + 5x) = 13 + x (6 * 7 + 3x * 7) + -4(3 + 5x) = 13 + x (42 + 21x) + -4(3 + 5x) = 13 + x 42 + 21x + (3 * -4 + 5x * -4) = 13 + x 42 + 21x + (-12 + -20x) = 13 + x Reorder the terms: 42 + -12 + 21x + -20x = 13 + x Combine like terms: 42 + -12 = 30 30 + 21x + -20x = 13 + x Combine like terms: 21x + -20x = 1x 30 + 1x = 13 + x Solving 30 + 1x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 1x + -1x = 13 + x + -1x Combine like terms: 1x + -1x = 0 30 + 0 = 13 + x + -1x 30 = 13 + x + -1x Combine like terms: x + -1x = 0 30 = 13 + 0 30 = 13 Add '-30' to each side of the equation. 30 + -30 = 13 + -30 Combine like terms: 30 + -30 = 0 0 = 13 + -30 Combine like terms: 13 + -30 = -17 0 = -17 Simplifying 0 = -17 Combine like terms: 0 + 17 = 17 17 = -17 + 17 Combine like terms: -17 + 17 = 0 17 = 0 The solution to this equation could not be determined.
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