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Simplifying 2(4x + -6) + 7 = 6x + -13 Reorder the terms: 2(-6 + 4x) + 7 = 6x + -13 (-6 * 2 + 4x * 2) + 7 = 6x + -13 (-12 + 8x) + 7 = 6x + -13 Reorder the terms: -12 + 7 + 8x = 6x + -13 Combine like terms: -12 + 7 = -5 -5 + 8x = 6x + -13 Reorder the terms: -5 + 8x = -13 + 6x Solving -5 + 8x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 8x + -6x = -13 + 6x + -6x Combine like terms: 8x + -6x = 2x -5 + 2x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 2x = -13 + 0 -5 + 2x = -13 Add '5' to each side of the equation. -5 + 5 + 2x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -13 + 5 2x = -13 + 5 Combine like terms: -13 + 5 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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