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Simplifying -8(x + 3) + 3x + 7 = 8x + 7 Reorder the terms: -8(3 + x) + 3x + 7 = 8x + 7 (3 * -8 + x * -8) + 3x + 7 = 8x + 7 (-24 + -8x) + 3x + 7 = 8x + 7 Reorder the terms: -24 + 7 + -8x + 3x = 8x + 7 Combine like terms: -24 + 7 = -17 -17 + -8x + 3x = 8x + 7 Combine like terms: -8x + 3x = -5x -17 + -5x = 8x + 7 Reorder the terms: -17 + -5x = 7 + 8x Solving -17 + -5x = 7 + 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. -17 + -5x + -8x = 7 + 8x + -8x Combine like terms: -5x + -8x = -13x -17 + -13x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -13x = 7 + 0 -17 + -13x = 7 Add '17' to each side of the equation. -17 + 17 + -13x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -13x = 7 + 17 -13x = 7 + 17 Combine like terms: 7 + 17 = 24 -13x = 24 Divide each side by '-13'. x = -1.846153846 Simplifying x = -1.846153846
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