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Simplifying 2(x + -3) + 7 = 3x + -1(5 + -4x) Reorder the terms: 2(-3 + x) + 7 = 3x + -1(5 + -4x) (-3 * 2 + x * 2) + 7 = 3x + -1(5 + -4x) (-6 + 2x) + 7 = 3x + -1(5 + -4x) Reorder the terms: -6 + 7 + 2x = 3x + -1(5 + -4x) Combine like terms: -6 + 7 = 1 1 + 2x = 3x + -1(5 + -4x) 1 + 2x = 3x + (5 * -1 + -4x * -1) 1 + 2x = 3x + (-5 + 4x) Reorder the terms: 1 + 2x = -5 + 3x + 4x Combine like terms: 3x + 4x = 7x 1 + 2x = -5 + 7x Solving 1 + 2x = -5 + 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. 1 + 2x + -7x = -5 + 7x + -7x Combine like terms: 2x + -7x = -5x 1 + -5x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -5x = -5 + 0 1 + -5x = -5 Add '-1' to each side of the equation. 1 + -1 + -5x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -5 + -1 -5x = -5 + -1 Combine like terms: -5 + -1 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2
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