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Simplifying 7(x + -6) + 17 = 4(x + -4) Reorder the terms: 7(-6 + x) + 17 = 4(x + -4) (-6 * 7 + x * 7) + 17 = 4(x + -4) (-42 + 7x) + 17 = 4(x + -4) Reorder the terms: -42 + 17 + 7x = 4(x + -4) Combine like terms: -42 + 17 = -25 -25 + 7x = 4(x + -4) Reorder the terms: -25 + 7x = 4(-4 + x) -25 + 7x = (-4 * 4 + x * 4) -25 + 7x = (-16 + 4x) Solving -25 + 7x = -16 + 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. -25 + 7x + -4x = -16 + 4x + -4x Combine like terms: 7x + -4x = 3x -25 + 3x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 3x = -16 + 0 -25 + 3x = -16 Add '25' to each side of the equation. -25 + 25 + 3x = -16 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = -16 + 25 3x = -16 + 25 Combine like terms: -16 + 25 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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