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Simplifying 3x(6x + -2) + 18 = -10 + 2x(4 + 9x) Reorder the terms: 3x(-2 + 6x) + 18 = -10 + 2x(4 + 9x) (-2 * 3x + 6x * 3x) + 18 = -10 + 2x(4 + 9x) (-6x + 18x2) + 18 = -10 + 2x(4 + 9x) Reorder the terms: 18 + -6x + 18x2 = -10 + 2x(4 + 9x) 18 + -6x + 18x2 = -10 + (4 * 2x + 9x * 2x) 18 + -6x + 18x2 = -10 + (8x + 18x2) Add '-18x2' to each side of the equation. 18 + -6x + 18x2 + -18x2 = -10 + 8x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 18 + -6x + 0 = -10 + 8x + 18x2 + -18x2 18 + -6x = -10 + 8x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 18 + -6x = -10 + 8x + 0 18 + -6x = -10 + 8x Solving 18 + -6x = -10 + 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. 18 + -6x + -8x = -10 + 8x + -8x Combine like terms: -6x + -8x = -14x 18 + -14x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -14x = -10 + 0 18 + -14x = -10 Add '-18' to each side of the equation. 18 + -18 + -14x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = -10 + -18 -14x = -10 + -18 Combine like terms: -10 + -18 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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