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Simplifying 3(x + -4) + 1 = 7(x + -1) Reorder the terms: 3(-4 + x) + 1 = 7(x + -1) (-4 * 3 + x * 3) + 1 = 7(x + -1) (-12 + 3x) + 1 = 7(x + -1) Reorder the terms: -12 + 1 + 3x = 7(x + -1) Combine like terms: -12 + 1 = -11 -11 + 3x = 7(x + -1) Reorder the terms: -11 + 3x = 7(-1 + x) -11 + 3x = (-1 * 7 + x * 7) -11 + 3x = (-7 + 7x) Solving -11 + 3x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + 3x + -7x = -7 + 7x + -7x Combine like terms: 3x + -7x = -4x -11 + -4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -4x = -7 + 0 -11 + -4x = -7 Add '11' to each side of the equation. -11 + 11 + -4x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -7 + 11 -4x = -7 + 11 Combine like terms: -7 + 11 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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