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Simplifying 4x + 5 + -7x = 2(3x + -6) + -1 Reorder the terms: 5 + 4x + -7x = 2(3x + -6) + -1 Combine like terms: 4x + -7x = -3x 5 + -3x = 2(3x + -6) + -1 Reorder the terms: 5 + -3x = 2(-6 + 3x) + -1 5 + -3x = (-6 * 2 + 3x * 2) + -1 5 + -3x = (-12 + 6x) + -1 Reorder the terms: 5 + -3x = -12 + -1 + 6x Combine like terms: -12 + -1 = -13 5 + -3x = -13 + 6x Solving 5 + -3x = -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 + -3x + -6x = -13 + 6x + -6x Combine like terms: -3x + -6x = -9x 5 + -9x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -9x = -13 + 0 5 + -9x = -13 Add '-5' to each side of the equation. 5 + -5 + -9x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -13 + -5 -9x = -13 + -5 Combine like terms: -13 + -5 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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