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