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Simplifying 6x + -3(5x + -2) = 22 + -5x Reorder the terms: 6x + -3(-2 + 5x) = 22 + -5x 6x + (-2 * -3 + 5x * -3) = 22 + -5x 6x + (6 + -15x) = 22 + -5x Reorder the terms: 6 + 6x + -15x = 22 + -5x Combine like terms: 6x + -15x = -9x 6 + -9x = 22 + -5x Solving 6 + -9x = 22 + -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. 6 + -9x + 5x = 22 + -5x + 5x Combine like terms: -9x + 5x = -4x 6 + -4x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -4x = 22 + 0 6 + -4x = 22 Add '-6' to each side of the equation. 6 + -6 + -4x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 22 + -6 -4x = 22 + -6 Combine like terms: 22 + -6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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