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