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Simplifying 4x + 11 = 7(x + -13) Reorder the terms: 11 + 4x = 7(x + -13) Reorder the terms: 11 + 4x = 7(-13 + x) 11 + 4x = (-13 * 7 + x * 7) 11 + 4x = (-91 + 7x) Solving 11 + 4x = -91 + 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. 11 + 4x + -7x = -91 + 7x + -7x Combine like terms: 4x + -7x = -3x 11 + -3x = -91 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -3x = -91 + 0 11 + -3x = -91 Add '-11' to each side of the equation. 11 + -11 + -3x = -91 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -91 + -11 -3x = -91 + -11 Combine like terms: -91 + -11 = -102 -3x = -102 Divide each side by '-3'. x = 34 Simplifying x = 34
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