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Simplifying 6(6x + -2) + 4(5 + -2x) + -5(3x + 1) = -2 Reorder the terms: 6(-2 + 6x) + 4(5 + -2x) + -5(3x + 1) = -2 (-2 * 6 + 6x * 6) + 4(5 + -2x) + -5(3x + 1) = -2 (-12 + 36x) + 4(5 + -2x) + -5(3x + 1) = -2 -12 + 36x + (5 * 4 + -2x * 4) + -5(3x + 1) = -2 -12 + 36x + (20 + -8x) + -5(3x + 1) = -2 Reorder the terms: -12 + 36x + 20 + -8x + -5(1 + 3x) = -2 -12 + 36x + 20 + -8x + (1 * -5 + 3x * -5) = -2 -12 + 36x + 20 + -8x + (-5 + -15x) = -2 Reorder the terms: -12 + 20 + -5 + 36x + -8x + -15x = -2 Combine like terms: -12 + 20 = 8 8 + -5 + 36x + -8x + -15x = -2 Combine like terms: 8 + -5 = 3 3 + 36x + -8x + -15x = -2 Combine like terms: 36x + -8x = 28x 3 + 28x + -15x = -2 Combine like terms: 28x + -15x = 13x 3 + 13x = -2 Solving 3 + 13x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = -2 + -3 13x = -2 + -3 Combine like terms: -2 + -3 = -5 13x = -5 Divide each side by '13'. x = -0.3846153846 Simplifying x = -0.3846153846
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