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Simplifying 7(x + -6) + 13 = 4(x + -5) Reorder the terms: 7(-6 + x) + 13 = 4(x + -5) (-6 * 7 + x * 7) + 13 = 4(x + -5) (-42 + 7x) + 13 = 4(x + -5) Reorder the terms: -42 + 13 + 7x = 4(x + -5) Combine like terms: -42 + 13 = -29 -29 + 7x = 4(x + -5) Reorder the terms: -29 + 7x = 4(-5 + x) -29 + 7x = (-5 * 4 + x * 4) -29 + 7x = (-20 + 4x) Solving -29 + 7x = -20 + 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. -29 + 7x + -4x = -20 + 4x + -4x Combine like terms: 7x + -4x = 3x -29 + 3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + 3x = -20 + 0 -29 + 3x = -20 Add '29' to each side of the equation. -29 + 29 + 3x = -20 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = -20 + 29 3x = -20 + 29 Combine like terms: -20 + 29 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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