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Simplifying 5 + -2(3x + -4) = 4(3 + -2x) Reorder the terms: 5 + -2(-4 + 3x) = 4(3 + -2x) 5 + (-4 * -2 + 3x * -2) = 4(3 + -2x) 5 + (8 + -6x) = 4(3 + -2x) Combine like terms: 5 + 8 = 13 13 + -6x = 4(3 + -2x) 13 + -6x = (3 * 4 + -2x * 4) 13 + -6x = (12 + -8x) Solving 13 + -6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 13 + -6x + 8x = 12 + -8x + 8x Combine like terms: -6x + 8x = 2x 13 + 2x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 2x = 12 + 0 13 + 2x = 12 Add '-13' to each side of the equation. 13 + -13 + 2x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 12 + -13 2x = 12 + -13 Combine like terms: 12 + -13 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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