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Simplifying 6(10 + -1x) + -15(4 + 2x) = 10(x + -3) + 30 (10 * 6 + -1x * 6) + -15(4 + 2x) = 10(x + -3) + 30 (60 + -6x) + -15(4 + 2x) = 10(x + -3) + 30 60 + -6x + (4 * -15 + 2x * -15) = 10(x + -3) + 30 60 + -6x + (-60 + -30x) = 10(x + -3) + 30 Reorder the terms: 60 + -60 + -6x + -30x = 10(x + -3) + 30 Combine like terms: 60 + -60 = 0 0 + -6x + -30x = 10(x + -3) + 30 -6x + -30x = 10(x + -3) + 30 Combine like terms: -6x + -30x = -36x -36x = 10(x + -3) + 30 Reorder the terms: -36x = 10(-3 + x) + 30 -36x = (-3 * 10 + x * 10) + 30 -36x = (-30 + 10x) + 30 Reorder the terms: -36x = -30 + 30 + 10x Combine like terms: -30 + 30 = 0 -36x = 0 + 10x -36x = 10x Solving -36x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36x + -10x = 10x + -10x Combine like terms: -36x + -10x = -46x -46x = 10x + -10x Combine like terms: 10x + -10x = 0 -46x = 0 Divide each side by '-46'. x = 0 Simplifying x = 0
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