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Simplifying -7x + 10 = -3(x + 6) Reorder the terms: 10 + -7x = -3(x + 6) Reorder the terms: 10 + -7x = -3(6 + x) 10 + -7x = (6 * -3 + x * -3) 10 + -7x = (-18 + -3x) Solving 10 + -7x = -18 + -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. 10 + -7x + 3x = -18 + -3x + 3x Combine like terms: -7x + 3x = -4x 10 + -4x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -4x = -18 + 0 10 + -4x = -18 Add '-10' to each side of the equation. 10 + -10 + -4x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -18 + -10 -4x = -18 + -10 Combine like terms: -18 + -10 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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