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Simplifying 7(x + -6) + 10 = 2(x + -6) Reorder the terms: 7(-6 + x) + 10 = 2(x + -6) (-6 * 7 + x * 7) + 10 = 2(x + -6) (-42 + 7x) + 10 = 2(x + -6) Reorder the terms: -42 + 10 + 7x = 2(x + -6) Combine like terms: -42 + 10 = -32 -32 + 7x = 2(x + -6) Reorder the terms: -32 + 7x = 2(-6 + x) -32 + 7x = (-6 * 2 + x * 2) -32 + 7x = (-12 + 2x) Solving -32 + 7x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 7x + -2x = -12 + 2x + -2x Combine like terms: 7x + -2x = 5x -32 + 5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 5x = -12 + 0 -32 + 5x = -12 Add '32' to each side of the equation. -32 + 32 + 5x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = -12 + 32 5x = -12 + 32 Combine like terms: -12 + 32 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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