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Simplifying 7 + -4(x + 3) = -2(x + -2) Reorder the terms: 7 + -4(3 + x) = -2(x + -2) 7 + (3 * -4 + x * -4) = -2(x + -2) 7 + (-12 + -4x) = -2(x + -2) Combine like terms: 7 + -12 = -5 -5 + -4x = -2(x + -2) Reorder the terms: -5 + -4x = -2(-2 + x) -5 + -4x = (-2 * -2 + x * -2) -5 + -4x = (4 + -2x) Solving -5 + -4x = 4 + -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. -5 + -4x + 2x = 4 + -2x + 2x Combine like terms: -4x + 2x = -2x -5 + -2x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -2x = 4 + 0 -5 + -2x = 4 Add '5' to each side of the equation. -5 + 5 + -2x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 4 + 5 -2x = 4 + 5 Combine like terms: 4 + 5 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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