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Simplifying 4x + 3(x + -5) = 4(2x + 3) Reorder the terms: 4x + 3(-5 + x) = 4(2x + 3) 4x + (-5 * 3 + x * 3) = 4(2x + 3) 4x + (-15 + 3x) = 4(2x + 3) Reorder the terms: -15 + 4x + 3x = 4(2x + 3) Combine like terms: 4x + 3x = 7x -15 + 7x = 4(2x + 3) Reorder the terms: -15 + 7x = 4(3 + 2x) -15 + 7x = (3 * 4 + 2x * 4) -15 + 7x = (12 + 8x) Solving -15 + 7x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 7x + -8x = 12 + 8x + -8x Combine like terms: 7x + -8x = -1x -15 + -1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -1x = 12 + 0 -15 + -1x = 12 Add '15' to each side of the equation. -15 + 15 + -1x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 12 + 15 -1x = 12 + 15 Combine like terms: 12 + 15 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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