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Simplifying 3(2x + -5) + 7 = 2(4x + -1) + 6 Reorder the terms: 3(-5 + 2x) + 7 = 2(4x + -1) + 6 (-5 * 3 + 2x * 3) + 7 = 2(4x + -1) + 6 (-15 + 6x) + 7 = 2(4x + -1) + 6 Reorder the terms: -15 + 7 + 6x = 2(4x + -1) + 6 Combine like terms: -15 + 7 = -8 -8 + 6x = 2(4x + -1) + 6 Reorder the terms: -8 + 6x = 2(-1 + 4x) + 6 -8 + 6x = (-1 * 2 + 4x * 2) + 6 -8 + 6x = (-2 + 8x) + 6 Reorder the terms: -8 + 6x = -2 + 6 + 8x Combine like terms: -2 + 6 = 4 -8 + 6x = 4 + 8x Solving -8 + 6x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 6x + -8x = 4 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = 4 + 0 -8 + -2x = 4 Add '8' to each side of the equation. -8 + 8 + -2x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 4 + 8 -2x = 4 + 8 Combine like terms: 4 + 8 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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