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Simplifying 4x + -10 = 18 + -7(x + -2) Reorder the terms: -10 + 4x = 18 + -7(x + -2) Reorder the terms: -10 + 4x = 18 + -7(-2 + x) -10 + 4x = 18 + (-2 * -7 + x * -7) -10 + 4x = 18 + (14 + -7x) Combine like terms: 18 + 14 = 32 -10 + 4x = 32 + -7x Solving -10 + 4x = 32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 4x + 7x = 32 + -7x + 7x Combine like terms: 4x + 7x = 11x -10 + 11x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 11x = 32 + 0 -10 + 11x = 32 Add '10' to each side of the equation. -10 + 10 + 11x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 32 + 10 11x = 32 + 10 Combine like terms: 32 + 10 = 42 11x = 42 Divide each side by '11'. x = 3.818181818 Simplifying x = 3.818181818
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