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Simplifying 6(x + 10) + -2(3x + 30) = 4x + -10 Reorder the terms: 6(10 + x) + -2(3x + 30) = 4x + -10 (10 * 6 + x * 6) + -2(3x + 30) = 4x + -10 (60 + 6x) + -2(3x + 30) = 4x + -10 Reorder the terms: 60 + 6x + -2(30 + 3x) = 4x + -10 60 + 6x + (30 * -2 + 3x * -2) = 4x + -10 60 + 6x + (-60 + -6x) = 4x + -10 Reorder the terms: 60 + -60 + 6x + -6x = 4x + -10 Combine like terms: 60 + -60 = 0 0 + 6x + -6x = 4x + -10 6x + -6x = 4x + -10 Combine like terms: 6x + -6x = 0 0 = 4x + -10 Reorder the terms: 0 = -10 + 4x Solving 0 = -10 + 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. 0 + -4x = -10 + 4x + -4x Remove the zero: -4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4x = -10 + 0 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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