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Simplifying 6(x + -15) = 3(14 + x) Reorder the terms: 6(-15 + x) = 3(14 + x) (-15 * 6 + x * 6) = 3(14 + x) (-90 + 6x) = 3(14 + x) -90 + 6x = (14 * 3 + x * 3) -90 + 6x = (42 + 3x) Solving -90 + 6x = 42 + 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. -90 + 6x + -3x = 42 + 3x + -3x Combine like terms: 6x + -3x = 3x -90 + 3x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -90 + 3x = 42 + 0 -90 + 3x = 42 Add '90' to each side of the equation. -90 + 90 + 3x = 42 + 90 Combine like terms: -90 + 90 = 0 0 + 3x = 42 + 90 3x = 42 + 90 Combine like terms: 42 + 90 = 132 3x = 132 Divide each side by '3'. x = 44 Simplifying x = 44
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