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Simplifying 1(x + -7) + -6 = -4(x + 8) Reorder the terms: 1(-7 + x) + -6 = -4(x + 8) (-7 * 1 + x * 1) + -6 = -4(x + 8) (-7 + 1x) + -6 = -4(x + 8) Reorder the terms: -7 + -6 + 1x = -4(x + 8) Combine like terms: -7 + -6 = -13 -13 + 1x = -4(x + 8) Reorder the terms: -13 + 1x = -4(8 + x) -13 + 1x = (8 * -4 + x * -4) -13 + 1x = (-32 + -4x) Solving -13 + 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. -13 + 1x + 4x = -32 + -4x + 4x Combine like terms: 1x + 4x = 5x -13 + 5x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 5x = -32 + 0 -13 + 5x = -32 Add '13' to each side of the equation. -13 + 13 + 5x = -32 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = -32 + 13 5x = -32 + 13 Combine like terms: -32 + 13 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8
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