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Simplifying 4x + 8 + -6(x + 1) = 7x + 9 Reorder the terms: 4x + 8 + -6(1 + x) = 7x + 9 4x + 8 + (1 * -6 + x * -6) = 7x + 9 4x + 8 + (-6 + -6x) = 7x + 9 Reorder the terms: 8 + -6 + 4x + -6x = 7x + 9 Combine like terms: 8 + -6 = 2 2 + 4x + -6x = 7x + 9 Combine like terms: 4x + -6x = -2x 2 + -2x = 7x + 9 Reorder the terms: 2 + -2x = 9 + 7x Solving 2 + -2x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -2x + -7x = 9 + 7x + -7x Combine like terms: -2x + -7x = -9x 2 + -9x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -9x = 9 + 0 2 + -9x = 9 Add '-2' to each side of the equation. 2 + -2 + -9x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 9 + -2 -9x = 9 + -2 Combine like terms: 9 + -2 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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