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Simplifying 7(4x + -3) = -6x + 3(3 + 8x) Reorder the terms: 7(-3 + 4x) = -6x + 3(3 + 8x) (-3 * 7 + 4x * 7) = -6x + 3(3 + 8x) (-21 + 28x) = -6x + 3(3 + 8x) -21 + 28x = -6x + (3 * 3 + 8x * 3) -21 + 28x = -6x + (9 + 24x) Reorder the terms: -21 + 28x = 9 + -6x + 24x Combine like terms: -6x + 24x = 18x -21 + 28x = 9 + 18x Solving -21 + 28x = 9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -21 + 28x + -18x = 9 + 18x + -18x Combine like terms: 28x + -18x = 10x -21 + 10x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 -21 + 10x = 9 + 0 -21 + 10x = 9 Add '21' to each side of the equation. -21 + 21 + 10x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 9 + 21 10x = 9 + 21 Combine like terms: 9 + 21 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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