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Simplifying 4 + 2(x + -3) = -7(2x + -1) + 5 Reorder the terms: 4 + 2(-3 + x) = -7(2x + -1) + 5 4 + (-3 * 2 + x * 2) = -7(2x + -1) + 5 4 + (-6 + 2x) = -7(2x + -1) + 5 Combine like terms: 4 + -6 = -2 -2 + 2x = -7(2x + -1) + 5 Reorder the terms: -2 + 2x = -7(-1 + 2x) + 5 -2 + 2x = (-1 * -7 + 2x * -7) + 5 -2 + 2x = (7 + -14x) + 5 Reorder the terms: -2 + 2x = 7 + 5 + -14x Combine like terms: 7 + 5 = 12 -2 + 2x = 12 + -14x Solving -2 + 2x = 12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -2 + 2x + 14x = 12 + -14x + 14x Combine like terms: 2x + 14x = 16x -2 + 16x = 12 + -14x + 14x Combine like terms: -14x + 14x = 0 -2 + 16x = 12 + 0 -2 + 16x = 12 Add '2' to each side of the equation. -2 + 2 + 16x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 12 + 2 16x = 12 + 2 Combine like terms: 12 + 2 = 14 16x = 14 Divide each side by '16'. x = 0.875 Simplifying x = 0.875
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