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Simplifying X + 4(x + -5) = 3(x + -5) + -7 Reorder the terms: X + 4(-5 + x) = 3(x + -5) + -7 X + (-5 * 4 + x * 4) = 3(x + -5) + -7 X + (-20 + 4x) = 3(x + -5) + -7 Reorder the terms: -20 + X + 4x = 3(x + -5) + -7 Reorder the terms: -20 + X + 4x = 3(-5 + x) + -7 -20 + X + 4x = (-5 * 3 + x * 3) + -7 -20 + X + 4x = (-15 + 3x) + -7 Reorder the terms: -20 + X + 4x = -15 + -7 + 3x Combine like terms: -15 + -7 = -22 -20 + X + 4x = -22 + 3x Solving -20 + X + 4x = -22 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + X + 20 + 4x = -22 + 20 + 3x Reorder the terms: -20 + 20 + X + 4x = -22 + 20 + 3x Combine like terms: -20 + 20 = 0 0 + X + 4x = -22 + 20 + 3x X + 4x = -22 + 20 + 3x Combine like terms: -22 + 20 = -2 X + 4x = -2 + 3x Add '-4x' to each side of the equation. X + 4x + -4x = -2 + 3x + -4x Combine like terms: 4x + -4x = 0 X + 0 = -2 + 3x + -4x X = -2 + 3x + -4x Combine like terms: 3x + -4x = -1x X = -2 + -1x Simplifying X = -2 + -1x
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