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Simplifying 7[-2x + 7 + -2(x + -1)] = 2x + 5 Reorder the terms: 7[-2x + 7 + -2(-1 + x)] = 2x + 5 7[-2x + 7 + (-1 * -2 + x * -2)] = 2x + 5 7[-2x + 7 + (2 + -2x)] = 2x + 5 Reorder the terms: 7[7 + 2 + -2x + -2x] = 2x + 5 Combine like terms: 7 + 2 = 9 7[9 + -2x + -2x] = 2x + 5 Combine like terms: -2x + -2x = -4x 7[9 + -4x] = 2x + 5 [9 * 7 + -4x * 7] = 2x + 5 [63 + -28x] = 2x + 5 Reorder the terms: 63 + -28x = 5 + 2x Solving 63 + -28x = 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. 63 + -28x + -2x = 5 + 2x + -2x Combine like terms: -28x + -2x = -30x 63 + -30x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + -30x = 5 + 0 63 + -30x = 5 Add '-63' to each side of the equation. 63 + -63 + -30x = 5 + -63 Combine like terms: 63 + -63 = 0 0 + -30x = 5 + -63 -30x = 5 + -63 Combine like terms: 5 + -63 = -58 -30x = -58 Divide each side by '-30'. x = 1.933333333 Simplifying x = 1.933333333
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