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Simplifying 6(6x + -2) + -5(4x + -12) = 5(3x + 2) + -2 Reorder the terms: 6(-2 + 6x) + -5(4x + -12) = 5(3x + 2) + -2 (-2 * 6 + 6x * 6) + -5(4x + -12) = 5(3x + 2) + -2 (-12 + 36x) + -5(4x + -12) = 5(3x + 2) + -2 Reorder the terms: -12 + 36x + -5(-12 + 4x) = 5(3x + 2) + -2 -12 + 36x + (-12 * -5 + 4x * -5) = 5(3x + 2) + -2 -12 + 36x + (60 + -20x) = 5(3x + 2) + -2 Reorder the terms: -12 + 60 + 36x + -20x = 5(3x + 2) + -2 Combine like terms: -12 + 60 = 48 48 + 36x + -20x = 5(3x + 2) + -2 Combine like terms: 36x + -20x = 16x 48 + 16x = 5(3x + 2) + -2 Reorder the terms: 48 + 16x = 5(2 + 3x) + -2 48 + 16x = (2 * 5 + 3x * 5) + -2 48 + 16x = (10 + 15x) + -2 Reorder the terms: 48 + 16x = 10 + -2 + 15x Combine like terms: 10 + -2 = 8 48 + 16x = 8 + 15x Solving 48 + 16x = 8 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 48 + 16x + -15x = 8 + 15x + -15x Combine like terms: 16x + -15x = 1x 48 + 1x = 8 + 15x + -15x Combine like terms: 15x + -15x = 0 48 + 1x = 8 + 0 48 + 1x = 8 Add '-48' to each side of the equation. 48 + -48 + 1x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 8 + -48 1x = 8 + -48 Combine like terms: 8 + -48 = -40 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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