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Simplifying -3x + -2(3x + 4) = 5(2x + 1) + -3x + 1 Reorder the terms: -3x + -2(4 + 3x) = 5(2x + 1) + -3x + 1 -3x + (4 * -2 + 3x * -2) = 5(2x + 1) + -3x + 1 -3x + (-8 + -6x) = 5(2x + 1) + -3x + 1 Reorder the terms: -8 + -3x + -6x = 5(2x + 1) + -3x + 1 Combine like terms: -3x + -6x = -9x -8 + -9x = 5(2x + 1) + -3x + 1 Reorder the terms: -8 + -9x = 5(1 + 2x) + -3x + 1 -8 + -9x = (1 * 5 + 2x * 5) + -3x + 1 -8 + -9x = (5 + 10x) + -3x + 1 Reorder the terms: -8 + -9x = 5 + 1 + 10x + -3x Combine like terms: 5 + 1 = 6 -8 + -9x = 6 + 10x + -3x Combine like terms: 10x + -3x = 7x -8 + -9x = 6 + 7x Solving -8 + -9x = 6 + 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. -8 + -9x + -7x = 6 + 7x + -7x Combine like terms: -9x + -7x = -16x -8 + -16x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -16x = 6 + 0 -8 + -16x = 6 Add '8' to each side of the equation. -8 + 8 + -16x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 6 + 8 -16x = 6 + 8 Combine like terms: 6 + 8 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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