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Simplifying 6(x + 1) + 4 = 8x + -9 Reorder the terms: 6(1 + x) + 4 = 8x + -9 (1 * 6 + x * 6) + 4 = 8x + -9 (6 + 6x) + 4 = 8x + -9 Reorder the terms: 6 + 4 + 6x = 8x + -9 Combine like terms: 6 + 4 = 10 10 + 6x = 8x + -9 Reorder the terms: 10 + 6x = -9 + 8x Solving 10 + 6x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 6x + -8x = -9 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -9 + 0 10 + -2x = -9 Add '-10' to each side of the equation. 10 + -10 + -2x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -9 + -10 -2x = -9 + -10 Combine like terms: -9 + -10 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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