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Simplifying 3(2x + -1) + 7 = 6x + -3 + -2(2 + -4x) Reorder the terms: 3(-1 + 2x) + 7 = 6x + -3 + -2(2 + -4x) (-1 * 3 + 2x * 3) + 7 = 6x + -3 + -2(2 + -4x) (-3 + 6x) + 7 = 6x + -3 + -2(2 + -4x) Reorder the terms: -3 + 7 + 6x = 6x + -3 + -2(2 + -4x) Combine like terms: -3 + 7 = 4 4 + 6x = 6x + -3 + -2(2 + -4x) 4 + 6x = 6x + -3 + (2 * -2 + -4x * -2) 4 + 6x = 6x + -3 + (-4 + 8x) Reorder the terms: 4 + 6x = -3 + -4 + 6x + 8x Combine like terms: -3 + -4 = -7 4 + 6x = -7 + 6x + 8x Combine like terms: 6x + 8x = 14x 4 + 6x = -7 + 14x Solving 4 + 6x = -7 + 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. 4 + 6x + -14x = -7 + 14x + -14x Combine like terms: 6x + -14x = -8x 4 + -8x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + -8x = -7 + 0 4 + -8x = -7 Add '-4' to each side of the equation. 4 + -4 + -8x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -7 + -4 -8x = -7 + -4 Combine like terms: -7 + -4 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375
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