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Simplifying 2(4x + -3) = 21 + -1(3 + -2x) Reorder the terms: 2(-3 + 4x) = 21 + -1(3 + -2x) (-3 * 2 + 4x * 2) = 21 + -1(3 + -2x) (-6 + 8x) = 21 + -1(3 + -2x) -6 + 8x = 21 + (3 * -1 + -2x * -1) -6 + 8x = 21 + (-3 + 2x) Combine like terms: 21 + -3 = 18 -6 + 8x = 18 + 2x Solving -6 + 8x = 18 + 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. -6 + 8x + -2x = 18 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 18 + 0 -6 + 6x = 18 Add '6' to each side of the equation. -6 + 6 + 6x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 18 + 6 6x = 18 + 6 Combine like terms: 18 + 6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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