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Simplifying 8 + -4(-1x + -11) + -5(x + 9) = 13x Reorder the terms: 8 + -4(-11 + -1x) + -5(x + 9) = 13x 8 + (-11 * -4 + -1x * -4) + -5(x + 9) = 13x 8 + (44 + 4x) + -5(x + 9) = 13x Reorder the terms: 8 + 44 + 4x + -5(9 + x) = 13x 8 + 44 + 4x + (9 * -5 + x * -5) = 13x 8 + 44 + 4x + (-45 + -5x) = 13x Reorder the terms: 8 + 44 + -45 + 4x + -5x = 13x Combine like terms: 8 + 44 = 52 52 + -45 + 4x + -5x = 13x Combine like terms: 52 + -45 = 7 7 + 4x + -5x = 13x Combine like terms: 4x + -5x = -1x 7 + -1x = 13x Solving 7 + -1x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 7 + -1x + -13x = 13x + -13x Combine like terms: -1x + -13x = -14x 7 + -14x = 13x + -13x Combine like terms: 13x + -13x = 0 7 + -14x = 0 Add '-7' to each side of the equation. 7 + -7 + -14x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 0 + -7 -14x = 0 + -7 Combine like terms: 0 + -7 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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