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Simplifying -14 + 4 = 5(x + 6) + -3(3 + -1x) Combine like terms: -14 + 4 = -10 -10 = 5(x + 6) + -3(3 + -1x) Reorder the terms: -10 = 5(6 + x) + -3(3 + -1x) -10 = (6 * 5 + x * 5) + -3(3 + -1x) -10 = (30 + 5x) + -3(3 + -1x) -10 = 30 + 5x + (3 * -3 + -1x * -3) -10 = 30 + 5x + (-9 + 3x) Reorder the terms: -10 = 30 + -9 + 5x + 3x Combine like terms: 30 + -9 = 21 -10 = 21 + 5x + 3x Combine like terms: 5x + 3x = 8x -10 = 21 + 8x Solving -10 = 21 + 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 + -8x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -8x = 21 + 0 -10 + -8x = 21 Add '10' to each side of the equation. -10 + 10 + -8x = 21 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 21 + 10 -8x = 21 + 10 Combine like terms: 21 + 10 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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