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Simplifying 3(5x + -1) + -2(4x + -5) = 6x + 6 Reorder the terms: 3(-1 + 5x) + -2(4x + -5) = 6x + 6 (-1 * 3 + 5x * 3) + -2(4x + -5) = 6x + 6 (-3 + 15x) + -2(4x + -5) = 6x + 6 Reorder the terms: -3 + 15x + -2(-5 + 4x) = 6x + 6 -3 + 15x + (-5 * -2 + 4x * -2) = 6x + 6 -3 + 15x + (10 + -8x) = 6x + 6 Reorder the terms: -3 + 10 + 15x + -8x = 6x + 6 Combine like terms: -3 + 10 = 7 7 + 15x + -8x = 6x + 6 Combine like terms: 15x + -8x = 7x 7 + 7x = 6x + 6 Reorder the terms: 7 + 7x = 6 + 6x Solving 7 + 7x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 7 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 1x = 6 + 0 7 + 1x = 6 Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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