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Simplifying 3(2x + -7) + 6 = x + -40 Reorder the terms: 3(-7 + 2x) + 6 = x + -40 (-7 * 3 + 2x * 3) + 6 = x + -40 (-21 + 6x) + 6 = x + -40 Reorder the terms: -21 + 6 + 6x = x + -40 Combine like terms: -21 + 6 = -15 -15 + 6x = x + -40 Reorder the terms: -15 + 6x = -40 + x Solving -15 + 6x = -40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 6x + -1x = -40 + x + -1x Combine like terms: 6x + -1x = 5x -15 + 5x = -40 + x + -1x Combine like terms: x + -1x = 0 -15 + 5x = -40 + 0 -15 + 5x = -40 Add '15' to each side of the equation. -15 + 15 + 5x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -40 + 15 5x = -40 + 15 Combine like terms: -40 + 15 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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