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Simplifying 7 + 3(x + -2) + 8x = 6(x + 1) + 2x + -9 Reorder the terms: 7 + 3(-2 + x) + 8x = 6(x + 1) + 2x + -9 7 + (-2 * 3 + x * 3) + 8x = 6(x + 1) + 2x + -9 7 + (-6 + 3x) + 8x = 6(x + 1) + 2x + -9 Combine like terms: 7 + -6 = 1 1 + 3x + 8x = 6(x + 1) + 2x + -9 Combine like terms: 3x + 8x = 11x 1 + 11x = 6(x + 1) + 2x + -9 Reorder the terms: 1 + 11x = 6(1 + x) + 2x + -9 1 + 11x = (1 * 6 + x * 6) + 2x + -9 1 + 11x = (6 + 6x) + 2x + -9 Reorder the terms: 1 + 11x = 6 + -9 + 6x + 2x Combine like terms: 6 + -9 = -3 1 + 11x = -3 + 6x + 2x Combine like terms: 6x + 2x = 8x 1 + 11x = -3 + 8x Solving 1 + 11x = -3 + 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. 1 + 11x + -8x = -3 + 8x + -8x Combine like terms: 11x + -8x = 3x 1 + 3x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + 3x = -3 + 0 1 + 3x = -3 Add '-1' to each side of the equation. 1 + -1 + 3x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -3 + -1 3x = -3 + -1 Combine like terms: -3 + -1 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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