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Simplifying 3(x + -2) + -1 = 2(4 + -6x) + 3 Reorder the terms: 3(-2 + x) + -1 = 2(4 + -6x) + 3 (-2 * 3 + x * 3) + -1 = 2(4 + -6x) + 3 (-6 + 3x) + -1 = 2(4 + -6x) + 3 Reorder the terms: -6 + -1 + 3x = 2(4 + -6x) + 3 Combine like terms: -6 + -1 = -7 -7 + 3x = 2(4 + -6x) + 3 -7 + 3x = (4 * 2 + -6x * 2) + 3 -7 + 3x = (8 + -12x) + 3 Reorder the terms: -7 + 3x = 8 + 3 + -12x Combine like terms: 8 + 3 = 11 -7 + 3x = 11 + -12x Solving -7 + 3x = 11 + -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. -7 + 3x + 12x = 11 + -12x + 12x Combine like terms: 3x + 12x = 15x -7 + 15x = 11 + -12x + 12x Combine like terms: -12x + 12x = 0 -7 + 15x = 11 + 0 -7 + 15x = 11 Add '7' to each side of the equation. -7 + 7 + 15x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = 11 + 7 15x = 11 + 7 Combine like terms: 11 + 7 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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