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Simplifying 6(x + 1) + -2x = 9x + -4 Reorder the terms: 6(1 + x) + -2x = 9x + -4 (1 * 6 + x * 6) + -2x = 9x + -4 (6 + 6x) + -2x = 9x + -4 Combine like terms: 6x + -2x = 4x 6 + 4x = 9x + -4 Reorder the terms: 6 + 4x = -4 + 9x Solving 6 + 4x = -4 + 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. 6 + 4x + -9x = -4 + 9x + -9x Combine like terms: 4x + -9x = -5x 6 + -5x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -5x = -4 + 0 6 + -5x = -4 Add '-6' to each side of the equation. 6 + -6 + -5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -4 + -6 -5x = -4 + -6 Combine like terms: -4 + -6 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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