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Simplifying -8(x + 3) + 2x + 5 = 7x + 9 Reorder the terms: -8(3 + x) + 2x + 5 = 7x + 9 (3 * -8 + x * -8) + 2x + 5 = 7x + 9 (-24 + -8x) + 2x + 5 = 7x + 9 Reorder the terms: -24 + 5 + -8x + 2x = 7x + 9 Combine like terms: -24 + 5 = -19 -19 + -8x + 2x = 7x + 9 Combine like terms: -8x + 2x = -6x -19 + -6x = 7x + 9 Reorder the terms: -19 + -6x = 9 + 7x Solving -19 + -6x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -19 + -6x + -7x = 9 + 7x + -7x Combine like terms: -6x + -7x = -13x -19 + -13x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + -13x = 9 + 0 -19 + -13x = 9 Add '19' to each side of the equation. -19 + 19 + -13x = 9 + 19 Combine like terms: -19 + 19 = 0 0 + -13x = 9 + 19 -13x = 9 + 19 Combine like terms: 9 + 19 = 28 -13x = 28 Divide each side by '-13'. x = -2.153846154 Simplifying x = -2.153846154
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