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Simplifying -2x + -10 = 6(x + -7) Reorder the terms: -10 + -2x = 6(x + -7) Reorder the terms: -10 + -2x = 6(-7 + x) -10 + -2x = (-7 * 6 + x * 6) -10 + -2x = (-42 + 6x) Solving -10 + -2x = -42 + 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. -10 + -2x + -6x = -42 + 6x + -6x Combine like terms: -2x + -6x = -8x -10 + -8x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -8x = -42 + 0 -10 + -8x = -42 Add '10' to each side of the equation. -10 + 10 + -8x = -42 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -42 + 10 -8x = -42 + 10 Combine like terms: -42 + 10 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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