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Simplifying -7(x + 3) + 3x + 6 = 8x + 10 Reorder the terms: -7(3 + x) + 3x + 6 = 8x + 10 (3 * -7 + x * -7) + 3x + 6 = 8x + 10 (-21 + -7x) + 3x + 6 = 8x + 10 Reorder the terms: -21 + 6 + -7x + 3x = 8x + 10 Combine like terms: -21 + 6 = -15 -15 + -7x + 3x = 8x + 10 Combine like terms: -7x + 3x = -4x -15 + -4x = 8x + 10 Reorder the terms: -15 + -4x = 10 + 8x Solving -15 + -4x = 10 + 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. -15 + -4x + -8x = 10 + 8x + -8x Combine like terms: -4x + -8x = -12x -15 + -12x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -12x = 10 + 0 -15 + -12x = 10 Add '15' to each side of the equation. -15 + 15 + -12x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 10 + 15 -12x = 10 + 15 Combine like terms: 10 + 15 = 25 -12x = 25 Divide each side by '-12'. x = -2.083333333 Simplifying x = -2.083333333
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