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Simplifying 2(3x + -7) + 4 = 6(5x + 9) + 3 Reorder the terms: 2(-7 + 3x) + 4 = 6(5x + 9) + 3 (-7 * 2 + 3x * 2) + 4 = 6(5x + 9) + 3 (-14 + 6x) + 4 = 6(5x + 9) + 3 Reorder the terms: -14 + 4 + 6x = 6(5x + 9) + 3 Combine like terms: -14 + 4 = -10 -10 + 6x = 6(5x + 9) + 3 Reorder the terms: -10 + 6x = 6(9 + 5x) + 3 -10 + 6x = (9 * 6 + 5x * 6) + 3 -10 + 6x = (54 + 30x) + 3 Reorder the terms: -10 + 6x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 -10 + 6x = 57 + 30x Solving -10 + 6x = 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. -10 + 6x + -30x = 57 + 30x + -30x Combine like terms: 6x + -30x = -24x -10 + -24x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 -10 + -24x = 57 + 0 -10 + -24x = 57 Add '10' to each side of the equation. -10 + 10 + -24x = 57 + 10 Combine like terms: -10 + 10 = 0 0 + -24x = 57 + 10 -24x = 57 + 10 Combine like terms: 57 + 10 = 67 -24x = 67 Divide each side by '-24'. x = -2.791666667 Simplifying x = -2.791666667
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