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Simplifying 6x + 6 + -4(x + 1) = 9x + 6 Reorder the terms: 6x + 6 + -4(1 + x) = 9x + 6 6x + 6 + (1 * -4 + x * -4) = 9x + 6 6x + 6 + (-4 + -4x) = 9x + 6 Reorder the terms: 6 + -4 + 6x + -4x = 9x + 6 Combine like terms: 6 + -4 = 2 2 + 6x + -4x = 9x + 6 Combine like terms: 6x + -4x = 2x 2 + 2x = 9x + 6 Reorder the terms: 2 + 2x = 6 + 9x Solving 2 + 2x = 6 + 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. 2 + 2x + -9x = 6 + 9x + -9x Combine like terms: 2x + -9x = -7x 2 + -7x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -7x = 6 + 0 2 + -7x = 6 Add '-2' to each side of the equation. 2 + -2 + -7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 6 + -2 -7x = 6 + -2 Combine like terms: 6 + -2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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