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Simplifying 2(3x + -1) + 4 = 7x + 7 Reorder the terms: 2(-1 + 3x) + 4 = 7x + 7 (-1 * 2 + 3x * 2) + 4 = 7x + 7 (-2 + 6x) + 4 = 7x + 7 Reorder the terms: -2 + 4 + 6x = 7x + 7 Combine like terms: -2 + 4 = 2 2 + 6x = 7x + 7 Reorder the terms: 2 + 6x = 7 + 7x Solving 2 + 6x = 7 + 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. 2 + 6x + -7x = 7 + 7x + -7x Combine like terms: 6x + -7x = -1x 2 + -1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -1x = 7 + 0 2 + -1x = 7 Add '-2' to each side of the equation. 2 + -2 + -1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 7 + -2 -1x = 7 + -2 Combine like terms: 7 + -2 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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