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Simplifying 7 + -2(x + -3) = -4(2 + -3x) Reorder the terms: 7 + -2(-3 + x) = -4(2 + -3x) 7 + (-3 * -2 + x * -2) = -4(2 + -3x) 7 + (6 + -2x) = -4(2 + -3x) Combine like terms: 7 + 6 = 13 13 + -2x = -4(2 + -3x) 13 + -2x = (2 * -4 + -3x * -4) 13 + -2x = (-8 + 12x) Solving 13 + -2x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13 + -2x + -12x = -8 + 12x + -12x Combine like terms: -2x + -12x = -14x 13 + -14x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -14x = -8 + 0 13 + -14x = -8 Add '-13' to each side of the equation. 13 + -13 + -14x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -14x = -8 + -13 -14x = -8 + -13 Combine like terms: -8 + -13 = -21 -14x = -21 Divide each side by '-14'. x = 1.5 Simplifying x = 1.5
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