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Simplifying 7 + -2(x + 4) = 6x + 10 Reorder the terms: 7 + -2(4 + x) = 6x + 10 7 + (4 * -2 + x * -2) = 6x + 10 7 + (-8 + -2x) = 6x + 10 Combine like terms: 7 + -8 = -1 -1 + -2x = 6x + 10 Reorder the terms: -1 + -2x = 10 + 6x Solving -1 + -2x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -2x + -6x = 10 + 6x + -6x Combine like terms: -2x + -6x = -8x -1 + -8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -8x = 10 + 0 -1 + -8x = 10 Add '1' to each side of the equation. -1 + 1 + -8x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 10 + 1 -8x = 10 + 1 Combine like terms: 10 + 1 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375
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