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Simplifying 5x + -3 + 2(x + 1) = -4(3x + -2) Reorder the terms: 5x + -3 + 2(1 + x) = -4(3x + -2) 5x + -3 + (1 * 2 + x * 2) = -4(3x + -2) 5x + -3 + (2 + 2x) = -4(3x + -2) Reorder the terms: -3 + 2 + 5x + 2x = -4(3x + -2) Combine like terms: -3 + 2 = -1 -1 + 5x + 2x = -4(3x + -2) Combine like terms: 5x + 2x = 7x -1 + 7x = -4(3x + -2) Reorder the terms: -1 + 7x = -4(-2 + 3x) -1 + 7x = (-2 * -4 + 3x * -4) -1 + 7x = (8 + -12x) Solving -1 + 7x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -1 + 7x + 12x = 8 + -12x + 12x Combine like terms: 7x + 12x = 19x -1 + 19x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -1 + 19x = 8 + 0 -1 + 19x = 8 Add '1' to each side of the equation. -1 + 1 + 19x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 19x = 8 + 1 19x = 8 + 1 Combine like terms: 8 + 1 = 9 19x = 9 Divide each side by '19'. x = 0.4736842105 Simplifying x = 0.4736842105
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