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Simplifying (-5 + x) * 6 = 4(7 + x) Reorder the terms for easier multiplication: 6(-5 + x) = 4(7 + x) (-5 * 6 + x * 6) = 4(7 + x) (-30 + 6x) = 4(7 + x) -30 + 6x = (7 * 4 + x * 4) -30 + 6x = (28 + 4x) Solving -30 + 6x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 6x + -4x = 28 + 4x + -4x Combine like terms: 6x + -4x = 2x -30 + 2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 2x = 28 + 0 -30 + 2x = 28 Add '30' to each side of the equation. -30 + 30 + 2x = 28 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 28 + 30 2x = 28 + 30 Combine like terms: 28 + 30 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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