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Simplifying 5 + 4(x + -1) = 11 + -6(x + -5) Reorder the terms: 5 + 4(-1 + x) = 11 + -6(x + -5) 5 + (-1 * 4 + x * 4) = 11 + -6(x + -5) 5 + (-4 + 4x) = 11 + -6(x + -5) Combine like terms: 5 + -4 = 1 1 + 4x = 11 + -6(x + -5) Reorder the terms: 1 + 4x = 11 + -6(-5 + x) 1 + 4x = 11 + (-5 * -6 + x * -6) 1 + 4x = 11 + (30 + -6x) Combine like terms: 11 + 30 = 41 1 + 4x = 41 + -6x Solving 1 + 4x = 41 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 4x + 6x = 41 + -6x + 6x Combine like terms: 4x + 6x = 10x 1 + 10x = 41 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 10x = 41 + 0 1 + 10x = 41 Add '-1' to each side of the equation. 1 + -1 + 10x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 41 + -1 10x = 41 + -1 Combine like terms: 41 + -1 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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