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Simplifying 9x + -6(x + 3) = 2x + 40 Reorder the terms: 9x + -6(3 + x) = 2x + 40 9x + (3 * -6 + x * -6) = 2x + 40 9x + (-18 + -6x) = 2x + 40 Reorder the terms: -18 + 9x + -6x = 2x + 40 Combine like terms: 9x + -6x = 3x -18 + 3x = 2x + 40 Reorder the terms: -18 + 3x = 40 + 2x Solving -18 + 3x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 3x + -2x = 40 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = 40 + 0 -18 + 1x = 40 Add '18' to each side of the equation. -18 + 18 + 1x = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 40 + 18 1x = 40 + 18 Combine like terms: 40 + 18 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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