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Simplifying 10(x + -3) = 4(x + 15) Reorder the terms: 10(-3 + x) = 4(x + 15) (-3 * 10 + x * 10) = 4(x + 15) (-30 + 10x) = 4(x + 15) Reorder the terms: -30 + 10x = 4(15 + x) -30 + 10x = (15 * 4 + x * 4) -30 + 10x = (60 + 4x) Solving -30 + 10x = 60 + 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 + 10x + -4x = 60 + 4x + -4x Combine like terms: 10x + -4x = 6x -30 + 6x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 6x = 60 + 0 -30 + 6x = 60 Add '30' to each side of the equation. -30 + 30 + 6x = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 60 + 30 6x = 60 + 30 Combine like terms: 60 + 30 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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