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Simplifying 10 + -4(x + 7) = 2(3 + x) Reorder the terms: 10 + -4(7 + x) = 2(3 + x) 10 + (7 * -4 + x * -4) = 2(3 + x) 10 + (-28 + -4x) = 2(3 + x) Combine like terms: 10 + -28 = -18 -18 + -4x = 2(3 + x) -18 + -4x = (3 * 2 + x * 2) -18 + -4x = (6 + 2x) Solving -18 + -4x = 6 + 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 + -4x + -2x = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x -18 + -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -6x = 6 + 0 -18 + -6x = 6 Add '18' to each side of the equation. -18 + 18 + -6x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 6 + 18 -6x = 6 + 18 Combine like terms: 6 + 18 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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