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Simplifying 2(3x + -7) + 4(3x + -2) = 6(5x + 9) + 3 Reorder the terms: 2(-7 + 3x) + 4(3x + -2) = 6(5x + 9) + 3 (-7 * 2 + 3x * 2) + 4(3x + -2) = 6(5x + 9) + 3 (-14 + 6x) + 4(3x + -2) = 6(5x + 9) + 3 Reorder the terms: -14 + 6x + 4(-2 + 3x) = 6(5x + 9) + 3 -14 + 6x + (-2 * 4 + 3x * 4) = 6(5x + 9) + 3 -14 + 6x + (-8 + 12x) = 6(5x + 9) + 3 Reorder the terms: -14 + -8 + 6x + 12x = 6(5x + 9) + 3 Combine like terms: -14 + -8 = -22 -22 + 6x + 12x = 6(5x + 9) + 3 Combine like terms: 6x + 12x = 18x -22 + 18x = 6(5x + 9) + 3 Reorder the terms: -22 + 18x = 6(9 + 5x) + 3 -22 + 18x = (9 * 6 + 5x * 6) + 3 -22 + 18x = (54 + 30x) + 3 Reorder the terms: -22 + 18x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 -22 + 18x = 57 + 30x Solving -22 + 18x = 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. -22 + 18x + -30x = 57 + 30x + -30x Combine like terms: 18x + -30x = -12x -22 + -12x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 -22 + -12x = 57 + 0 -22 + -12x = 57 Add '22' to each side of the equation. -22 + 22 + -12x = 57 + 22 Combine like terms: -22 + 22 = 0 0 + -12x = 57 + 22 -12x = 57 + 22 Combine like terms: 57 + 22 = 79 -12x = 79 Divide each side by '-12'. x = -6.583333333 Simplifying x = -6.583333333
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