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Simplifying 3(2x + -1) + 5 = 4x + -7 Reorder the terms: 3(-1 + 2x) + 5 = 4x + -7 (-1 * 3 + 2x * 3) + 5 = 4x + -7 (-3 + 6x) + 5 = 4x + -7 Reorder the terms: -3 + 5 + 6x = 4x + -7 Combine like terms: -3 + 5 = 2 2 + 6x = 4x + -7 Reorder the terms: 2 + 6x = -7 + 4x Solving 2 + 6x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 6x + -4x = -7 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = -7 + 0 2 + 2x = -7 Add '-2' to each side of the equation. 2 + -2 + 2x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -7 + -2 2x = -7 + -2 Combine like terms: -7 + -2 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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