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Simplifying 2(2 + -3x) = 7 + -2(x + -3) (2 * 2 + -3x * 2) = 7 + -2(x + -3) (4 + -6x) = 7 + -2(x + -3) Reorder the terms: 4 + -6x = 7 + -2(-3 + x) 4 + -6x = 7 + (-3 * -2 + x * -2) 4 + -6x = 7 + (6 + -2x) Combine like terms: 7 + 6 = 13 4 + -6x = 13 + -2x Solving 4 + -6x = 13 + -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. 4 + -6x + 2x = 13 + -2x + 2x Combine like terms: -6x + 2x = -4x 4 + -4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -4x = 13 + 0 4 + -4x = 13 Add '-4' to each side of the equation. 4 + -4 + -4x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 13 + -4 -4x = 13 + -4 Combine like terms: 13 + -4 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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