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Simplifying 10 + 4(2x + -7) = -2x + 412 Reorder the terms: 10 + 4(-7 + 2x) = -2x + 412 10 + (-7 * 4 + 2x * 4) = -2x + 412 10 + (-28 + 8x) = -2x + 412 Combine like terms: 10 + -28 = -18 -18 + 8x = -2x + 412 Reorder the terms: -18 + 8x = 412 + -2x Solving -18 + 8x = 412 + -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. -18 + 8x + 2x = 412 + -2x + 2x Combine like terms: 8x + 2x = 10x -18 + 10x = 412 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 10x = 412 + 0 -18 + 10x = 412 Add '18' to each side of the equation. -18 + 18 + 10x = 412 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 412 + 18 10x = 412 + 18 Combine like terms: 412 + 18 = 430 10x = 430 Divide each side by '10'. x = 43 Simplifying x = 43
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