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Simplifying 1(x + -4) + -7 = 4(x + -8) Reorder the terms: 1(-4 + x) + -7 = 4(x + -8) (-4 * 1 + x * 1) + -7 = 4(x + -8) (-4 + 1x) + -7 = 4(x + -8) Reorder the terms: -4 + -7 + 1x = 4(x + -8) Combine like terms: -4 + -7 = -11 -11 + 1x = 4(x + -8) Reorder the terms: -11 + 1x = 4(-8 + x) -11 + 1x = (-8 * 4 + x * 4) -11 + 1x = (-32 + 4x) Solving -11 + 1x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 1x + -4x = -32 + 4x + -4x Combine like terms: 1x + -4x = -3x -11 + -3x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -3x = -32 + 0 -11 + -3x = -32 Add '11' to each side of the equation. -11 + 11 + -3x = -32 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = -32 + 11 -3x = -32 + 11 Combine like terms: -32 + 11 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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