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Simplifying 4x + -5 = -3(2x + 1) + -12 Reorder the terms: -5 + 4x = -3(2x + 1) + -12 Reorder the terms: -5 + 4x = -3(1 + 2x) + -12 -5 + 4x = (1 * -3 + 2x * -3) + -12 -5 + 4x = (-3 + -6x) + -12 Reorder the terms: -5 + 4x = -3 + -12 + -6x Combine like terms: -3 + -12 = -15 -5 + 4x = -15 + -6x Solving -5 + 4x = -15 + -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 = -15 + -6x + 6x Combine like terms: 4x + 6x = 10x -5 + 10x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 10x = -15 + 0 -5 + 10x = -15 Add '5' to each side of the equation. -5 + 5 + 10x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = -15 + 5 10x = -15 + 5 Combine like terms: -15 + 5 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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