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Simplifying 4(x + -7) = 3(x + 6) Reorder the terms: 4(-7 + x) = 3(x + 6) (-7 * 4 + x * 4) = 3(x + 6) (-28 + 4x) = 3(x + 6) Reorder the terms: -28 + 4x = 3(6 + x) -28 + 4x = (6 * 3 + x * 3) -28 + 4x = (18 + 3x) Solving -28 + 4x = 18 + 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 + 4x + -3x = 18 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = 18 + 0 -28 + 1x = 18 Add '28' to each side of the equation. -28 + 28 + 1x = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 18 + 28 1x = 18 + 28 Combine like terms: 18 + 28 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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