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Simplifying 3(5x + -1) + -4(2x + -16) = 6x + 6 Reorder the terms: 3(-1 + 5x) + -4(2x + -16) = 6x + 6 (-1 * 3 + 5x * 3) + -4(2x + -16) = 6x + 6 (-3 + 15x) + -4(2x + -16) = 6x + 6 Reorder the terms: -3 + 15x + -4(-16 + 2x) = 6x + 6 -3 + 15x + (-16 * -4 + 2x * -4) = 6x + 6 -3 + 15x + (64 + -8x) = 6x + 6 Reorder the terms: -3 + 64 + 15x + -8x = 6x + 6 Combine like terms: -3 + 64 = 61 61 + 15x + -8x = 6x + 6 Combine like terms: 15x + -8x = 7x 61 + 7x = 6x + 6 Reorder the terms: 61 + 7x = 6 + 6x Solving 61 + 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. 61 + 7x + -6x = 6 + 6x + -6x Combine like terms: 7x + -6x = 1x 61 + 1x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 61 + 1x = 6 + 0 61 + 1x = 6 Add '-61' to each side of the equation. 61 + -61 + 1x = 6 + -61 Combine like terms: 61 + -61 = 0 0 + 1x = 6 + -61 1x = 6 + -61 Combine like terms: 6 + -61 = -55 1x = -55 Divide each side by '1'. x = -55 Simplifying x = -55
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