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Simplifying 7 + -2(x + 4) = 5x + 2x + -10 Reorder the terms: 7 + -2(4 + x) = 5x + 2x + -10 7 + (4 * -2 + x * -2) = 5x + 2x + -10 7 + (-8 + -2x) = 5x + 2x + -10 Combine like terms: 7 + -8 = -1 -1 + -2x = 5x + 2x + -10 Reorder the terms: -1 + -2x = -10 + 5x + 2x Combine like terms: 5x + 2x = 7x -1 + -2x = -10 + 7x Solving -1 + -2x = -10 + 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. -1 + -2x + -7x = -10 + 7x + -7x Combine like terms: -2x + -7x = -9x -1 + -9x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -9x = -10 + 0 -1 + -9x = -10 Add '1' to each side of the equation. -1 + 1 + -9x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -10 + 1 -9x = -10 + 1 Combine like terms: -10 + 1 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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