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Simplifying 7(x + -1) + -2(x + 1) + 3(x + -4) = 0 Reorder the terms: 7(-1 + x) + -2(x + 1) + 3(x + -4) = 0 (-1 * 7 + x * 7) + -2(x + 1) + 3(x + -4) = 0 (-7 + 7x) + -2(x + 1) + 3(x + -4) = 0 Reorder the terms: -7 + 7x + -2(1 + x) + 3(x + -4) = 0 -7 + 7x + (1 * -2 + x * -2) + 3(x + -4) = 0 -7 + 7x + (-2 + -2x) + 3(x + -4) = 0 Reorder the terms: -7 + 7x + -2 + -2x + 3(-4 + x) = 0 -7 + 7x + -2 + -2x + (-4 * 3 + x * 3) = 0 -7 + 7x + -2 + -2x + (-12 + 3x) = 0 Reorder the terms: -7 + -2 + -12 + 7x + -2x + 3x = 0 Combine like terms: -7 + -2 = -9 -9 + -12 + 7x + -2x + 3x = 0 Combine like terms: -9 + -12 = -21 -21 + 7x + -2x + 3x = 0 Combine like terms: 7x + -2x = 5x -21 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -21 + 8x = 0 Solving -21 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 0 + 21 8x = 0 + 21 Combine like terms: 0 + 21 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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