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Simplifying 4[x + -1(5 + -3x)] = 3[7x + -1(4 + 5x)] 4[x + (5 * -1 + -3x * -1)] = 3[7x + -1(4 + 5x)] 4[x + (-5 + 3x)] = 3[7x + -1(4 + 5x)] Reorder the terms: 4[-5 + x + 3x] = 3[7x + -1(4 + 5x)] Combine like terms: x + 3x = 4x 4[-5 + 4x] = 3[7x + -1(4 + 5x)] [-5 * 4 + 4x * 4] = 3[7x + -1(4 + 5x)] [-20 + 16x] = 3[7x + -1(4 + 5x)] -20 + 16x = 3[7x + (4 * -1 + 5x * -1)] -20 + 16x = 3[7x + (-4 + -5x)] Reorder the terms: -20 + 16x = 3[-4 + 7x + -5x] Combine like terms: 7x + -5x = 2x -20 + 16x = 3[-4 + 2x] -20 + 16x = [-4 * 3 + 2x * 3] -20 + 16x = [-12 + 6x] Solving -20 + 16x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 16x + -6x = -12 + 6x + -6x Combine like terms: 16x + -6x = 10x -20 + 10x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 10x = -12 + 0 -20 + 10x = -12 Add '20' to each side of the equation. -20 + 20 + 10x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = -12 + 20 10x = -12 + 20 Combine like terms: -12 + 20 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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