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Simplifying 7.2x + -36 + x = 3(x + -14) + 0.2x + 6 Reorder the terms: -36 + 7.2x + x = 3(x + -14) + 0.2x + 6 Combine like terms: 7.2x + x = 8.2x -36 + 8.2x = 3(x + -14) + 0.2x + 6 Reorder the terms: -36 + 8.2x = 3(-14 + x) + 0.2x + 6 -36 + 8.2x = (-14 * 3 + x * 3) + 0.2x + 6 -36 + 8.2x = (-42 + 3x) + 0.2x + 6 Reorder the terms: -36 + 8.2x = -42 + 6 + 3x + 0.2x Combine like terms: -42 + 6 = -36 -36 + 8.2x = -36 + 3x + 0.2x Combine like terms: 3x + 0.2x = 3.2x -36 + 8.2x = -36 + 3.2x Add '36' to each side of the equation. -36 + 36 + 8.2x = -36 + 36 + 3.2x Combine like terms: -36 + 36 = 0 0 + 8.2x = -36 + 36 + 3.2x 8.2x = -36 + 36 + 3.2x Combine like terms: -36 + 36 = 0 8.2x = 0 + 3.2x 8.2x = 3.2x Solving 8.2x = 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 8.2x + -3.2x = 3.2x + -3.2x Combine like terms: 8.2x + -3.2x = 5x 5x = 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 5x = 0.0 Divide each side by '5'. x = 0.0 Simplifying x = 0.0
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