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Simplifying 4x + -5(1 + -2x) = 6(x + 3) 4x + (1 * -5 + -2x * -5) = 6(x + 3) 4x + (-5 + 10x) = 6(x + 3) Reorder the terms: -5 + 4x + 10x = 6(x + 3) Combine like terms: 4x + 10x = 14x -5 + 14x = 6(x + 3) Reorder the terms: -5 + 14x = 6(3 + x) -5 + 14x = (3 * 6 + x * 6) -5 + 14x = (18 + 6x) Solving -5 + 14x = 18 + 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 + 14x + -6x = 18 + 6x + -6x Combine like terms: 14x + -6x = 8x -5 + 8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 8x = 18 + 0 -5 + 8x = 18 Add '5' to each side of the equation. -5 + 5 + 8x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 18 + 5 8x = 18 + 5 Combine like terms: 18 + 5 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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