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Simplifying -6(3 + x) + 3x = 5(x + -10) (3 * -6 + x * -6) + 3x = 5(x + -10) (-18 + -6x) + 3x = 5(x + -10) Combine like terms: -6x + 3x = -3x -18 + -3x = 5(x + -10) Reorder the terms: -18 + -3x = 5(-10 + x) -18 + -3x = (-10 * 5 + x * 5) -18 + -3x = (-50 + 5x) Solving -18 + -3x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -3x + -5x = -50 + 5x + -5x Combine like terms: -3x + -5x = -8x -18 + -8x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -8x = -50 + 0 -18 + -8x = -50 Add '18' to each side of the equation. -18 + 18 + -8x = -50 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -50 + 18 -8x = -50 + 18 Combine like terms: -50 + 18 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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