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Simplifying 3x + -6 + 5x + -18 = 3(9 + -1x) + -7 Reorder the terms: -6 + -18 + 3x + 5x = 3(9 + -1x) + -7 Combine like terms: -6 + -18 = -24 -24 + 3x + 5x = 3(9 + -1x) + -7 Combine like terms: 3x + 5x = 8x -24 + 8x = 3(9 + -1x) + -7 -24 + 8x = (9 * 3 + -1x * 3) + -7 -24 + 8x = (27 + -3x) + -7 Reorder the terms: -24 + 8x = 27 + -7 + -3x Combine like terms: 27 + -7 = 20 -24 + 8x = 20 + -3x Solving -24 + 8x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 8x + 3x = 20 + -3x + 3x Combine like terms: 8x + 3x = 11x -24 + 11x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 11x = 20 + 0 -24 + 11x = 20 Add '24' to each side of the equation. -24 + 24 + 11x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 20 + 24 11x = 20 + 24 Combine like terms: 20 + 24 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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