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Simplifying 3(4x + -3) = 2(3x + 10.5) Reorder the terms: 3(-3 + 4x) = 2(3x + 10.5) (-3 * 3 + 4x * 3) = 2(3x + 10.5) (-9 + 12x) = 2(3x + 10.5) Reorder the terms: -9 + 12x = 2(10.5 + 3x) -9 + 12x = (10.5 * 2 + 3x * 2) -9 + 12x = (21 + 6x) Solving -9 + 12x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 12x + -6x = 21 + 6x + -6x Combine like terms: 12x + -6x = 6x -9 + 6x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 6x = 21 + 0 -9 + 6x = 21 Add '9' to each side of the equation. -9 + 9 + 6x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 21 + 9 6x = 21 + 9 Combine like terms: 21 + 9 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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