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Simplifying 4[2x + 1] = [2x + -13] Reorder the terms: 4[1 + 2x] = [2x + -13] [1 * 4 + 2x * 4] = [2x + -13] [4 + 8x] = [2x + -13] Reorder the terms: 4 + 8x = [-13 + 2x] Remove brackets around [-13 + 2x] 4 + 8x = -13 + 2x Solving 4 + 8x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 8x + -2x = -13 + 2x + -2x Combine like terms: 8x + -2x = 6x 4 + 6x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 6x = -13 + 0 4 + 6x = -13 Add '-4' to each side of the equation. 4 + -4 + 6x = -13 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -13 + -4 6x = -13 + -4 Combine like terms: -13 + -4 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333
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