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Simplifying 3(5x + -1) + -2(4x + -4) = 6x + 6 Reorder the terms: 3(-1 + 5x) + -2(4x + -4) = 6x + 6 (-1 * 3 + 5x * 3) + -2(4x + -4) = 6x + 6 (-3 + 15x) + -2(4x + -4) = 6x + 6 Reorder the terms: -3 + 15x + -2(-4 + 4x) = 6x + 6 -3 + 15x + (-4 * -2 + 4x * -2) = 6x + 6 -3 + 15x + (8 + -8x) = 6x + 6 Reorder the terms: -3 + 8 + 15x + -8x = 6x + 6 Combine like terms: -3 + 8 = 5 5 + 15x + -8x = 6x + 6 Combine like terms: 15x + -8x = 7x 5 + 7x = 6x + 6 Reorder the terms: 5 + 7x = 6 + 6x Solving 5 + 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. 5 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = 6 + 0 5 + 1x = 6 Add '-5' to each side of the equation. 5 + -5 + 1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 6 + -5 1x = 6 + -5 Combine like terms: 6 + -5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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