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Simplifying (3x + -7) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: (-7 + 3x) + 4(3x + 2) = 6(5x + 9) + 3 Remove parenthesis around (-7 + 3x) -7 + 3x + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: -7 + 3x + 4(2 + 3x) = 6(5x + 9) + 3 -7 + 3x + (2 * 4 + 3x * 4) = 6(5x + 9) + 3 -7 + 3x + (8 + 12x) = 6(5x + 9) + 3 Reorder the terms: -7 + 8 + 3x + 12x = 6(5x + 9) + 3 Combine like terms: -7 + 8 = 1 1 + 3x + 12x = 6(5x + 9) + 3 Combine like terms: 3x + 12x = 15x 1 + 15x = 6(5x + 9) + 3 Reorder the terms: 1 + 15x = 6(9 + 5x) + 3 1 + 15x = (9 * 6 + 5x * 6) + 3 1 + 15x = (54 + 30x) + 3 Reorder the terms: 1 + 15x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 1 + 15x = 57 + 30x Solving 1 + 15x = 57 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 1 + 15x + -30x = 57 + 30x + -30x Combine like terms: 15x + -30x = -15x 1 + -15x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 1 + -15x = 57 + 0 1 + -15x = 57 Add '-1' to each side of the equation. 1 + -1 + -15x = 57 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 57 + -1 -15x = 57 + -1 Combine like terms: 57 + -1 = 56 -15x = 56 Divide each side by '-15'. x = -3.733333333 Simplifying x = -3.733333333
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