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Simplifying 3(6x + -1) + -4(2x + -7) = 9x + 3 Reorder the terms: 3(-1 + 6x) + -4(2x + -7) = 9x + 3 (-1 * 3 + 6x * 3) + -4(2x + -7) = 9x + 3 (-3 + 18x) + -4(2x + -7) = 9x + 3 Reorder the terms: -3 + 18x + -4(-7 + 2x) = 9x + 3 -3 + 18x + (-7 * -4 + 2x * -4) = 9x + 3 -3 + 18x + (28 + -8x) = 9x + 3 Reorder the terms: -3 + 28 + 18x + -8x = 9x + 3 Combine like terms: -3 + 28 = 25 25 + 18x + -8x = 9x + 3 Combine like terms: 18x + -8x = 10x 25 + 10x = 9x + 3 Reorder the terms: 25 + 10x = 3 + 9x Solving 25 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x 25 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 1x = 3 + 0 25 + 1x = 3 Add '-25' to each side of the equation. 25 + -25 + 1x = 3 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 3 + -25 1x = 3 + -25 Combine like terms: 3 + -25 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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