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Simplifying 3(3x + -8) + 4 = 4(2x + -6) + 7 Reorder the terms: 3(-8 + 3x) + 4 = 4(2x + -6) + 7 (-8 * 3 + 3x * 3) + 4 = 4(2x + -6) + 7 (-24 + 9x) + 4 = 4(2x + -6) + 7 Reorder the terms: -24 + 4 + 9x = 4(2x + -6) + 7 Combine like terms: -24 + 4 = -20 -20 + 9x = 4(2x + -6) + 7 Reorder the terms: -20 + 9x = 4(-6 + 2x) + 7 -20 + 9x = (-6 * 4 + 2x * 4) + 7 -20 + 9x = (-24 + 8x) + 7 Reorder the terms: -20 + 9x = -24 + 7 + 8x Combine like terms: -24 + 7 = -17 -20 + 9x = -17 + 8x Solving -20 + 9x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 9x + -8x = -17 + 8x + -8x Combine like terms: 9x + -8x = 1x -20 + 1x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 1x = -17 + 0 -20 + 1x = -17 Add '20' to each side of the equation. -20 + 20 + 1x = -17 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -17 + 20 1x = -17 + 20 Combine like terms: -17 + 20 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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