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Simplifying 2(3x + -5) = 3(4x + 2) + -7 Reorder the terms: 2(-5 + 3x) = 3(4x + 2) + -7 (-5 * 2 + 3x * 2) = 3(4x + 2) + -7 (-10 + 6x) = 3(4x + 2) + -7 Reorder the terms: -10 + 6x = 3(2 + 4x) + -7 -10 + 6x = (2 * 3 + 4x * 3) + -7 -10 + 6x = (6 + 12x) + -7 Reorder the terms: -10 + 6x = 6 + -7 + 12x Combine like terms: 6 + -7 = -1 -10 + 6x = -1 + 12x Solving -10 + 6x = -1 + 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. -10 + 6x + -12x = -1 + 12x + -12x Combine like terms: 6x + -12x = -6x -10 + -6x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -6x = -1 + 0 -10 + -6x = -1 Add '10' to each side of the equation. -10 + 10 + -6x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -1 + 10 -6x = -1 + 10 Combine like terms: -1 + 10 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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