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Simplifying 4(2x + -7) = 6(x + 3) Reorder the terms: 4(-7 + 2x) = 6(x + 3) (-7 * 4 + 2x * 4) = 6(x + 3) (-28 + 8x) = 6(x + 3) Reorder the terms: -28 + 8x = 6(3 + x) -28 + 8x = (3 * 6 + x * 6) -28 + 8x = (18 + 6x) Solving -28 + 8x = 18 + 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. -28 + 8x + -6x = 18 + 6x + -6x Combine like terms: 8x + -6x = 2x -28 + 2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 2x = 18 + 0 -28 + 2x = 18 Add '28' to each side of the equation. -28 + 28 + 2x = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 18 + 28 2x = 18 + 28 Combine like terms: 18 + 28 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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