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