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Simplifying 3(4x + -10) + -1(-1x + -35) + 2(-2 + -28) = 0 Reorder the terms: 3(-10 + 4x) + -1(-1x + -35) + 2(-2 + -28) = 0 (-10 * 3 + 4x * 3) + -1(-1x + -35) + 2(-2 + -28) = 0 (-30 + 12x) + -1(-1x + -35) + 2(-2 + -28) = 0 Reorder the terms: -30 + 12x + -1(-35 + -1x) + 2(-2 + -28) = 0 -30 + 12x + (-35 * -1 + -1x * -1) + 2(-2 + -28) = 0 -30 + 12x + (35 + 1x) + 2(-2 + -28) = 0 Combine like terms: -2 + -28 = -30 -30 + 12x + 35 + 1x + 2(-30) = 0 Multiply 2 * -30 -30 + 12x + 35 + 1x + -60 = 0 Reorder the terms: -30 + 35 + -60 + 12x + 1x = 0 Combine like terms: -30 + 35 = 5 5 + -60 + 12x + 1x = 0 Combine like terms: 5 + -60 = -55 -55 + 12x + 1x = 0 Combine like terms: 12x + 1x = 13x -55 + 13x = 0 Solving -55 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 13x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 13x = 0 + 55 13x = 0 + 55 Combine like terms: 0 + 55 = 55 13x = 55 Divide each side by '13'. x = 4.230769231 Simplifying x = 4.230769231
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