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Simplifying X + 4(2 + 3x) = 5(2x + -3) + -7 X + (2 * 4 + 3x * 4) = 5(2x + -3) + -7 X + (8 + 12x) = 5(2x + -3) + -7 Reorder the terms: 8 + X + 12x = 5(2x + -3) + -7 Reorder the terms: 8 + X + 12x = 5(-3 + 2x) + -7 8 + X + 12x = (-3 * 5 + 2x * 5) + -7 8 + X + 12x = (-15 + 10x) + -7 Reorder the terms: 8 + X + 12x = -15 + -7 + 10x Combine like terms: -15 + -7 = -22 8 + X + 12x = -22 + 10x Solving 8 + X + 12x = -22 + 10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + X + -8 + 12x = -22 + -8 + 10x Reorder the terms: 8 + -8 + X + 12x = -22 + -8 + 10x Combine like terms: 8 + -8 = 0 0 + X + 12x = -22 + -8 + 10x X + 12x = -22 + -8 + 10x Combine like terms: -22 + -8 = -30 X + 12x = -30 + 10x Add '-12x' to each side of the equation. X + 12x + -12x = -30 + 10x + -12x Combine like terms: 12x + -12x = 0 X + 0 = -30 + 10x + -12x X = -30 + 10x + -12x Combine like terms: 10x + -12x = -2x X = -30 + -2x Simplifying X = -30 + -2x
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