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Simplifying 7 + -5(3x + 6) = -1(7x + 7) + -1 Reorder the terms: 7 + -5(6 + 3x) = -1(7x + 7) + -1 7 + (6 * -5 + 3x * -5) = -1(7x + 7) + -1 7 + (-30 + -15x) = -1(7x + 7) + -1 Combine like terms: 7 + -30 = -23 -23 + -15x = -1(7x + 7) + -1 Reorder the terms: -23 + -15x = -1(7 + 7x) + -1 -23 + -15x = (7 * -1 + 7x * -1) + -1 -23 + -15x = (-7 + -7x) + -1 Reorder the terms: -23 + -15x = -7 + -1 + -7x Combine like terms: -7 + -1 = -8 -23 + -15x = -8 + -7x Solving -23 + -15x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -23 + -15x + 7x = -8 + -7x + 7x Combine like terms: -15x + 7x = -8x -23 + -8x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 -23 + -8x = -8 + 0 -23 + -8x = -8 Add '23' to each side of the equation. -23 + 23 + -8x = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = -8 + 23 -8x = -8 + 23 Combine like terms: -8 + 23 = 15 -8x = 15 Divide each side by '-8'. x = -1.875 Simplifying x = -1.875
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