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Simplifying 7 + -2(x + -4.5) = 6 + -4x Reorder the terms: 7 + -2(-4.5 + x) = 6 + -4x 7 + (-4.5 * -2 + x * -2) = 6 + -4x 7 + (9 + -2x) = 6 + -4x Combine like terms: 7 + 9 = 16 16 + -2x = 6 + -4x Solving 16 + -2x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 16 + -2x + 4x = 6 + -4x + 4x Combine like terms: -2x + 4x = 2x 16 + 2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 2x = 6 + 0 16 + 2x = 6 Add '-16' to each side of the equation. 16 + -16 + 2x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 6 + -16 2x = 6 + -16 Combine like terms: 6 + -16 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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