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Simplifying 7(x + -8) + 23 = 4(x + -6) Reorder the terms: 7(-8 + x) + 23 = 4(x + -6) (-8 * 7 + x * 7) + 23 = 4(x + -6) (-56 + 7x) + 23 = 4(x + -6) Reorder the terms: -56 + 23 + 7x = 4(x + -6) Combine like terms: -56 + 23 = -33 -33 + 7x = 4(x + -6) Reorder the terms: -33 + 7x = 4(-6 + x) -33 + 7x = (-6 * 4 + x * 4) -33 + 7x = (-24 + 4x) Solving -33 + 7x = -24 + 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. -33 + 7x + -4x = -24 + 4x + -4x Combine like terms: 7x + -4x = 3x -33 + 3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 3x = -24 + 0 -33 + 3x = -24 Add '33' to each side of the equation. -33 + 33 + 3x = -24 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -24 + 33 3x = -24 + 33 Combine like terms: -24 + 33 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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