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Simplifying 4(3x + -1) + -3(2x + 1) = 1 + -7x Reorder the terms: 4(-1 + 3x) + -3(2x + 1) = 1 + -7x (-1 * 4 + 3x * 4) + -3(2x + 1) = 1 + -7x (-4 + 12x) + -3(2x + 1) = 1 + -7x Reorder the terms: -4 + 12x + -3(1 + 2x) = 1 + -7x -4 + 12x + (1 * -3 + 2x * -3) = 1 + -7x -4 + 12x + (-3 + -6x) = 1 + -7x Reorder the terms: -4 + -3 + 12x + -6x = 1 + -7x Combine like terms: -4 + -3 = -7 -7 + 12x + -6x = 1 + -7x Combine like terms: 12x + -6x = 6x -7 + 6x = 1 + -7x Solving -7 + 6x = 1 + -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. -7 + 6x + 7x = 1 + -7x + 7x Combine like terms: 6x + 7x = 13x -7 + 13x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 13x = 1 + 0 -7 + 13x = 1 Add '7' to each side of the equation. -7 + 7 + 13x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 1 + 7 13x = 1 + 7 Combine like terms: 1 + 7 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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