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Simplifying 7[-2x + -4 + -2(x + 1)] = 7x + 3 Reorder the terms: 7[-2x + -4 + -2(1 + x)] = 7x + 3 7[-2x + -4 + (1 * -2 + x * -2)] = 7x + 3 7[-2x + -4 + (-2 + -2x)] = 7x + 3 Reorder the terms: 7[-4 + -2 + -2x + -2x] = 7x + 3 Combine like terms: -4 + -2 = -6 7[-6 + -2x + -2x] = 7x + 3 Combine like terms: -2x + -2x = -4x 7[-6 + -4x] = 7x + 3 [-6 * 7 + -4x * 7] = 7x + 3 [-42 + -28x] = 7x + 3 Reorder the terms: -42 + -28x = 3 + 7x Solving -42 + -28x = 3 + 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. -42 + -28x + -7x = 3 + 7x + -7x Combine like terms: -28x + -7x = -35x -42 + -35x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + -35x = 3 + 0 -42 + -35x = 3 Add '42' to each side of the equation. -42 + 42 + -35x = 3 + 42 Combine like terms: -42 + 42 = 0 0 + -35x = 3 + 42 -35x = 3 + 42 Combine like terms: 3 + 42 = 45 -35x = 45 Divide each side by '-35'. x = -1.285714286 Simplifying x = -1.285714286
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