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Simplifying (1 + -1x)[1] + x[5] = (1 + -1x)[5] + x[3] Reorder the terms for easier multiplication: 1(1 + -1x) + x[5] = (1 + -1x)[5] + x[3] (1 * 1 + -1x * 1) + x[5] = (1 + -1x)[5] + x[3] (1 + -1x) + x[5] = (1 + -1x)[5] + x[3] Reorder the terms for easier multiplication: 1 + -1x + 5x = (1 + -1x)[5] + x[3] Combine like terms: -1x + 5x = 4x 1 + 4x = (1 + -1x)[5] + x[3] Reorder the terms for easier multiplication: 1 + 4x = 5(1 + -1x) + x[3] 1 + 4x = (1 * 5 + -1x * 5) + x[3] 1 + 4x = (5 + -5x) + x[3] Reorder the terms for easier multiplication: 1 + 4x = 5 + -5x + 3x Combine like terms: -5x + 3x = -2x 1 + 4x = 5 + -2x Solving 1 + 4x = 5 + -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. 1 + 4x + 2x = 5 + -2x + 2x Combine like terms: 4x + 2x = 6x 1 + 6x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = 5 + 0 1 + 6x = 5 Add '-1' to each side of the equation. 1 + -1 + 6x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 5 + -1 6x = 5 + -1 Combine like terms: 5 + -1 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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