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Simplifying 4(2x + -7) = 3(x + 3) Reorder the terms: 4(-7 + 2x) = 3(x + 3) (-7 * 4 + 2x * 4) = 3(x + 3) (-28 + 8x) = 3(x + 3) Reorder the terms: -28 + 8x = 3(3 + x) -28 + 8x = (3 * 3 + x * 3) -28 + 8x = (9 + 3x) Solving -28 + 8x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 8x + -3x = 9 + 3x + -3x Combine like terms: 8x + -3x = 5x -28 + 5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 5x = 9 + 0 -28 + 5x = 9 Add '28' to each side of the equation. -28 + 28 + 5x = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = 9 + 28 5x = 9 + 28 Combine like terms: 9 + 28 = 37 5x = 37 Divide each side by '5'. x = 7.4 Simplifying x = 7.4
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