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Simplifying -2(2x + -3) = 3(4x + 1) + 10 Reorder the terms: -2(-3 + 2x) = 3(4x + 1) + 10 (-3 * -2 + 2x * -2) = 3(4x + 1) + 10 (6 + -4x) = 3(4x + 1) + 10 Reorder the terms: 6 + -4x = 3(1 + 4x) + 10 6 + -4x = (1 * 3 + 4x * 3) + 10 6 + -4x = (3 + 12x) + 10 Reorder the terms: 6 + -4x = 3 + 10 + 12x Combine like terms: 3 + 10 = 13 6 + -4x = 13 + 12x Solving 6 + -4x = 13 + 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. 6 + -4x + -12x = 13 + 12x + -12x Combine like terms: -4x + -12x = -16x 6 + -16x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -16x = 13 + 0 6 + -16x = 13 Add '-6' to each side of the equation. 6 + -6 + -16x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 13 + -6 -16x = 13 + -6 Combine like terms: 13 + -6 = 7 -16x = 7 Divide each side by '-16'. x = -0.4375 Simplifying x = -0.4375
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