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Simplifying x + 3(x + 10) = x + 7(x + -6) Reorder the terms: x + 3(10 + x) = x + 7(x + -6) x + (10 * 3 + x * 3) = x + 7(x + -6) x + (30 + 3x) = x + 7(x + -6) Reorder the terms: 30 + x + 3x = x + 7(x + -6) Combine like terms: x + 3x = 4x 30 + 4x = x + 7(x + -6) Reorder the terms: 30 + 4x = x + 7(-6 + x) 30 + 4x = x + (-6 * 7 + x * 7) 30 + 4x = x + (-42 + 7x) Reorder the terms: 30 + 4x = -42 + x + 7x Combine like terms: x + 7x = 8x 30 + 4x = -42 + 8x Solving 30 + 4x = -42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 4x + -8x = -42 + 8x + -8x Combine like terms: 4x + -8x = -4x 30 + -4x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -4x = -42 + 0 30 + -4x = -42 Add '-30' to each side of the equation. 30 + -30 + -4x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = -42 + -30 -4x = -42 + -30 Combine like terms: -42 + -30 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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