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Simplifying -3(4x + 15) + -1(10 + x) = 35 Reorder the terms: -3(15 + 4x) + -1(10 + x) = 35 (15 * -3 + 4x * -3) + -1(10 + x) = 35 (-45 + -12x) + -1(10 + x) = 35 -45 + -12x + (10 * -1 + x * -1) = 35 -45 + -12x + (-10 + -1x) = 35 Reorder the terms: -45 + -10 + -12x + -1x = 35 Combine like terms: -45 + -10 = -55 -55 + -12x + -1x = 35 Combine like terms: -12x + -1x = -13x -55 + -13x = 35 Solving -55 + -13x = 35 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 = 35 + 55 Combine like terms: -55 + 55 = 0 0 + -13x = 35 + 55 -13x = 35 + 55 Combine like terms: 35 + 55 = 90 -13x = 90 Divide each side by '-13'. x = -6.923076923 Simplifying x = -6.923076923
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