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Simplifying 100 + -1(6x + 11) = 6(x + 4) + x Reorder the terms: 100 + -1(11 + 6x) = 6(x + 4) + x 100 + (11 * -1 + 6x * -1) = 6(x + 4) + x 100 + (-11 + -6x) = 6(x + 4) + x Combine like terms: 100 + -11 = 89 89 + -6x = 6(x + 4) + x Reorder the terms: 89 + -6x = 6(4 + x) + x 89 + -6x = (4 * 6 + x * 6) + x 89 + -6x = (24 + 6x) + x Combine like terms: 6x + x = 7x 89 + -6x = 24 + 7x Solving 89 + -6x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 89 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x 89 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 89 + -13x = 24 + 0 89 + -13x = 24 Add '-89' to each side of the equation. 89 + -89 + -13x = 24 + -89 Combine like terms: 89 + -89 = 0 0 + -13x = 24 + -89 -13x = 24 + -89 Combine like terms: 24 + -89 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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