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Simplifying -3x + -10(x + 1) = -3(4x + 5) Reorder the terms: -3x + -10(1 + x) = -3(4x + 5) -3x + (1 * -10 + x * -10) = -3(4x + 5) -3x + (-10 + -10x) = -3(4x + 5) Reorder the terms: -10 + -3x + -10x = -3(4x + 5) Combine like terms: -3x + -10x = -13x -10 + -13x = -3(4x + 5) Reorder the terms: -10 + -13x = -3(5 + 4x) -10 + -13x = (5 * -3 + 4x * -3) -10 + -13x = (-15 + -12x) Solving -10 + -13x = -15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -10 + -13x + 12x = -15 + -12x + 12x Combine like terms: -13x + 12x = -1x -10 + -1x = -15 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + -1x = -15 + 0 -10 + -1x = -15 Add '10' to each side of the equation. -10 + 10 + -1x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -15 + 10 -1x = -15 + 10 Combine like terms: -15 + 10 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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