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Simplifying 5[4x + 2 + 7(x + 1)] = -2x + 4 Reorder the terms: 5[4x + 2 + 7(1 + x)] = -2x + 4 5[4x + 2 + (1 * 7 + x * 7)] = -2x + 4 5[4x + 2 + (7 + 7x)] = -2x + 4 Reorder the terms: 5[2 + 7 + 4x + 7x] = -2x + 4 Combine like terms: 2 + 7 = 9 5[9 + 4x + 7x] = -2x + 4 Combine like terms: 4x + 7x = 11x 5[9 + 11x] = -2x + 4 [9 * 5 + 11x * 5] = -2x + 4 [45 + 55x] = -2x + 4 Reorder the terms: 45 + 55x = 4 + -2x Solving 45 + 55x = 4 + -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. 45 + 55x + 2x = 4 + -2x + 2x Combine like terms: 55x + 2x = 57x 45 + 57x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + 57x = 4 + 0 45 + 57x = 4 Add '-45' to each side of the equation. 45 + -45 + 57x = 4 + -45 Combine like terms: 45 + -45 = 0 0 + 57x = 4 + -45 57x = 4 + -45 Combine like terms: 4 + -45 = -41 57x = -41 Divide each side by '57'. x = -0.7192982456 Simplifying x = -0.7192982456
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