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