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Simplifying 3(x + 6) + -2x = 3x + -5 + 3(2x + -6) Reorder the terms: 3(6 + x) + -2x = 3x + -5 + 3(2x + -6) (6 * 3 + x * 3) + -2x = 3x + -5 + 3(2x + -6) (18 + 3x) + -2x = 3x + -5 + 3(2x + -6) Combine like terms: 3x + -2x = 1x 18 + 1x = 3x + -5 + 3(2x + -6) Reorder the terms: 18 + 1x = 3x + -5 + 3(-6 + 2x) 18 + 1x = 3x + -5 + (-6 * 3 + 2x * 3) 18 + 1x = 3x + -5 + (-18 + 6x) Reorder the terms: 18 + 1x = -5 + -18 + 3x + 6x Combine like terms: -5 + -18 = -23 18 + 1x = -23 + 3x + 6x Combine like terms: 3x + 6x = 9x 18 + 1x = -23 + 9x Solving 18 + 1x = -23 + 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. 18 + 1x + -9x = -23 + 9x + -9x Combine like terms: 1x + -9x = -8x 18 + -8x = -23 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -8x = -23 + 0 18 + -8x = -23 Add '-18' to each side of the equation. 18 + -18 + -8x = -23 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -23 + -18 -8x = -23 + -18 Combine like terms: -23 + -18 = -41 -8x = -41 Divide each side by '-8'. x = 5.125 Simplifying x = 5.125
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