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Simplifying 6(x + -1) + -1 = 4(2x + 1) + -14 + 9 Reorder the terms: 6(-1 + x) + -1 = 4(2x + 1) + -14 + 9 (-1 * 6 + x * 6) + -1 = 4(2x + 1) + -14 + 9 (-6 + 6x) + -1 = 4(2x + 1) + -14 + 9 Reorder the terms: -6 + -1 + 6x = 4(2x + 1) + -14 + 9 Combine like terms: -6 + -1 = -7 -7 + 6x = 4(2x + 1) + -14 + 9 Reorder the terms: -7 + 6x = 4(1 + 2x) + -14 + 9 -7 + 6x = (1 * 4 + 2x * 4) + -14 + 9 -7 + 6x = (4 + 8x) + -14 + 9 Reorder the terms: -7 + 6x = 4 + -14 + 9 + 8x Combine like terms: 4 + -14 = -10 -7 + 6x = -10 + 9 + 8x Combine like terms: -10 + 9 = -1 -7 + 6x = -1 + 8x Solving -7 + 6x = -1 + 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. -7 + 6x + -8x = -1 + 8x + -8x Combine like terms: 6x + -8x = -2x -7 + -2x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -2x = -1 + 0 -7 + -2x = -1 Add '7' to each side of the equation. -7 + 7 + -2x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -1 + 7 -2x = -1 + 7 Combine like terms: -1 + 7 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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