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Simplifying 6(6x + -5) + -5(4x + -7) = 15x + 3 Reorder the terms: 6(-5 + 6x) + -5(4x + -7) = 15x + 3 (-5 * 6 + 6x * 6) + -5(4x + -7) = 15x + 3 (-30 + 36x) + -5(4x + -7) = 15x + 3 Reorder the terms: -30 + 36x + -5(-7 + 4x) = 15x + 3 -30 + 36x + (-7 * -5 + 4x * -5) = 15x + 3 -30 + 36x + (35 + -20x) = 15x + 3 Reorder the terms: -30 + 35 + 36x + -20x = 15x + 3 Combine like terms: -30 + 35 = 5 5 + 36x + -20x = 15x + 3 Combine like terms: 36x + -20x = 16x 5 + 16x = 15x + 3 Reorder the terms: 5 + 16x = 3 + 15x Solving 5 + 16x = 3 + 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. 5 + 16x + -15x = 3 + 15x + -15x Combine like terms: 16x + -15x = 1x 5 + 1x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + 1x = 3 + 0 5 + 1x = 3 Add '-5' to each side of the equation. 5 + -5 + 1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 3 + -5 1x = 3 + -5 Combine like terms: 3 + -5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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