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Simplifying 2(4x + -5) + 3 = 6x + -3 + 1 Reorder the terms: 2(-5 + 4x) + 3 = 6x + -3 + 1 (-5 * 2 + 4x * 2) + 3 = 6x + -3 + 1 (-10 + 8x) + 3 = 6x + -3 + 1 Reorder the terms: -10 + 3 + 8x = 6x + -3 + 1 Combine like terms: -10 + 3 = -7 -7 + 8x = 6x + -3 + 1 Reorder the terms: -7 + 8x = -3 + 1 + 6x Combine like terms: -3 + 1 = -2 -7 + 8x = -2 + 6x Solving -7 + 8x = -2 + 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. -7 + 8x + -6x = -2 + 6x + -6x Combine like terms: 8x + -6x = 2x -7 + 2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 2x = -2 + 0 -7 + 2x = -2 Add '7' to each side of the equation. -7 + 7 + 2x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -2 + 7 2x = -2 + 7 Combine like terms: -2 + 7 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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