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Simplifying 5x + -8(x + 1) = 7x + 3(2x + 3) Reorder the terms: 5x + -8(1 + x) = 7x + 3(2x + 3) 5x + (1 * -8 + x * -8) = 7x + 3(2x + 3) 5x + (-8 + -8x) = 7x + 3(2x + 3) Reorder the terms: -8 + 5x + -8x = 7x + 3(2x + 3) Combine like terms: 5x + -8x = -3x -8 + -3x = 7x + 3(2x + 3) Reorder the terms: -8 + -3x = 7x + 3(3 + 2x) -8 + -3x = 7x + (3 * 3 + 2x * 3) -8 + -3x = 7x + (9 + 6x) Reorder the terms: -8 + -3x = 9 + 7x + 6x Combine like terms: 7x + 6x = 13x -8 + -3x = 9 + 13x Solving -8 + -3x = 9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -8 + -3x + -13x = 9 + 13x + -13x Combine like terms: -3x + -13x = -16x -8 + -16x = 9 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + -16x = 9 + 0 -8 + -16x = 9 Add '8' to each side of the equation. -8 + 8 + -16x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 9 + 8 -16x = 9 + 8 Combine like terms: 9 + 8 = 17 -16x = 17 Divide each side by '-16'. x = -1.0625 Simplifying x = -1.0625
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