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Simplifying 4x + -3(4x + 5) = 2x + 1 Reorder the terms: 4x + -3(5 + 4x) = 2x + 1 4x + (5 * -3 + 4x * -3) = 2x + 1 4x + (-15 + -12x) = 2x + 1 Reorder the terms: -15 + 4x + -12x = 2x + 1 Combine like terms: 4x + -12x = -8x -15 + -8x = 2x + 1 Reorder the terms: -15 + -8x = 1 + 2x Solving -15 + -8x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -8x + -2x = 1 + 2x + -2x Combine like terms: -8x + -2x = -10x -15 + -10x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -10x = 1 + 0 -15 + -10x = 1 Add '15' to each side of the equation. -15 + 15 + -10x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 1 + 15 -10x = 1 + 15 Combine like terms: 1 + 15 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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