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Simplifying 7 + -5(x + 7) = -5x + 2(x + -6) Reorder the terms: 7 + -5(7 + x) = -5x + 2(x + -6) 7 + (7 * -5 + x * -5) = -5x + 2(x + -6) 7 + (-35 + -5x) = -5x + 2(x + -6) Combine like terms: 7 + -35 = -28 -28 + -5x = -5x + 2(x + -6) Reorder the terms: -28 + -5x = -5x + 2(-6 + x) -28 + -5x = -5x + (-6 * 2 + x * 2) -28 + -5x = -5x + (-12 + 2x) Reorder the terms: -28 + -5x = -12 + -5x + 2x Combine like terms: -5x + 2x = -3x -28 + -5x = -12 + -3x Solving -28 + -5x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + -5x + 3x = -12 + -3x + 3x Combine like terms: -5x + 3x = -2x -28 + -2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + -2x = -12 + 0 -28 + -2x = -12 Add '28' to each side of the equation. -28 + 28 + -2x = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -12 + 28 -2x = -12 + 28 Combine like terms: -12 + 28 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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