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Simplifying 3(x + -4) + -5(x + -1) = -3x Reorder the terms: 3(-4 + x) + -5(x + -1) = -3x (-4 * 3 + x * 3) + -5(x + -1) = -3x (-12 + 3x) + -5(x + -1) = -3x Reorder the terms: -12 + 3x + -5(-1 + x) = -3x -12 + 3x + (-1 * -5 + x * -5) = -3x -12 + 3x + (5 + -5x) = -3x Reorder the terms: -12 + 5 + 3x + -5x = -3x Combine like terms: -12 + 5 = -7 -7 + 3x + -5x = -3x Combine like terms: 3x + -5x = -2x -7 + -2x = -3x Solving -7 + -2x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -2x + 3x = -3x + 3x Combine like terms: -2x + 3x = 1x -7 + 1x = -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 1x = 0 Add '7' to each side of the equation. -7 + 7 + 1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 0 + 7 1x = 0 + 7 Combine like terms: 0 + 7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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