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Simplifying 4x + 5 = 2(3x + -7) + -3 Reorder the terms: 5 + 4x = 2(3x + -7) + -3 Reorder the terms: 5 + 4x = 2(-7 + 3x) + -3 5 + 4x = (-7 * 2 + 3x * 2) + -3 5 + 4x = (-14 + 6x) + -3 Reorder the terms: 5 + 4x = -14 + -3 + 6x Combine like terms: -14 + -3 = -17 5 + 4x = -17 + 6x Solving 5 + 4x = -17 + 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 + 4x + -6x = -17 + 6x + -6x Combine like terms: 4x + -6x = -2x 5 + -2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -2x = -17 + 0 5 + -2x = -17 Add '-5' to each side of the equation. 5 + -5 + -2x = -17 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -17 + -5 -2x = -17 + -5 Combine like terms: -17 + -5 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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