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Simplifying 9 + -7x + 8(x + -4) = 4(x + -7) Reorder the terms: 9 + -7x + 8(-4 + x) = 4(x + -7) 9 + -7x + (-4 * 8 + x * 8) = 4(x + -7) 9 + -7x + (-32 + 8x) = 4(x + -7) Reorder the terms: 9 + -32 + -7x + 8x = 4(x + -7) Combine like terms: 9 + -32 = -23 -23 + -7x + 8x = 4(x + -7) Combine like terms: -7x + 8x = 1x -23 + 1x = 4(x + -7) Reorder the terms: -23 + 1x = 4(-7 + x) -23 + 1x = (-7 * 4 + x * 4) -23 + 1x = (-28 + 4x) Solving -23 + 1x = -28 + 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. -23 + 1x + -4x = -28 + 4x + -4x Combine like terms: 1x + -4x = -3x -23 + -3x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + -3x = -28 + 0 -23 + -3x = -28 Add '23' to each side of the equation. -23 + 23 + -3x = -28 + 23 Combine like terms: -23 + 23 = 0 0 + -3x = -28 + 23 -3x = -28 + 23 Combine like terms: -28 + 23 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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