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Simplifying 6(3x + -4) + -4(2x + -13) = 9x + 6 Reorder the terms: 6(-4 + 3x) + -4(2x + -13) = 9x + 6 (-4 * 6 + 3x * 6) + -4(2x + -13) = 9x + 6 (-24 + 18x) + -4(2x + -13) = 9x + 6 Reorder the terms: -24 + 18x + -4(-13 + 2x) = 9x + 6 -24 + 18x + (-13 * -4 + 2x * -4) = 9x + 6 -24 + 18x + (52 + -8x) = 9x + 6 Reorder the terms: -24 + 52 + 18x + -8x = 9x + 6 Combine like terms: -24 + 52 = 28 28 + 18x + -8x = 9x + 6 Combine like terms: 18x + -8x = 10x 28 + 10x = 9x + 6 Reorder the terms: 28 + 10x = 6 + 9x Solving 28 + 10x = 6 + 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. 28 + 10x + -9x = 6 + 9x + -9x Combine like terms: 10x + -9x = 1x 28 + 1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + 1x = 6 + 0 28 + 1x = 6 Add '-28' to each side of the equation. 28 + -28 + 1x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 6 + -28 1x = 6 + -28 Combine like terms: 6 + -28 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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