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Simplifying 4 + 6x + -40 = x + 7(4) + 11 Reorder the terms: 4 + -40 + 6x = x + 7(4) + 11 Combine like terms: 4 + -40 = -36 -36 + 6x = x + 7(4) + 11 Multiply 7 * 4 -36 + 6x = x + 28 + 11 Reorder the terms: -36 + 6x = 28 + 11 + x Combine like terms: 28 + 11 = 39 -36 + 6x = 39 + x Solving -36 + 6x = 39 + 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. -36 + 6x + -1x = 39 + x + -1x Combine like terms: 6x + -1x = 5x -36 + 5x = 39 + x + -1x Combine like terms: x + -1x = 0 -36 + 5x = 39 + 0 -36 + 5x = 39 Add '36' to each side of the equation. -36 + 36 + 5x = 39 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = 39 + 36 5x = 39 + 36 Combine like terms: 39 + 36 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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