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Simplifying 4(3x + -2) = 5 + -2(x + 3) Reorder the terms: 4(-2 + 3x) = 5 + -2(x + 3) (-2 * 4 + 3x * 4) = 5 + -2(x + 3) (-8 + 12x) = 5 + -2(x + 3) Reorder the terms: -8 + 12x = 5 + -2(3 + x) -8 + 12x = 5 + (3 * -2 + x * -2) -8 + 12x = 5 + (-6 + -2x) Combine like terms: 5 + -6 = -1 -8 + 12x = -1 + -2x Solving -8 + 12x = -1 + -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. -8 + 12x + 2x = -1 + -2x + 2x Combine like terms: 12x + 2x = 14x -8 + 14x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 14x = -1 + 0 -8 + 14x = -1 Add '8' to each side of the equation. -8 + 8 + 14x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = -1 + 8 14x = -1 + 8 Combine like terms: -1 + 8 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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