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Simplifying 6(x + -7) + 4(x + -2) + -2x + -6 = 11 + x Reorder the terms: 6(-7 + x) + 4(x + -2) + -2x + -6 = 11 + x (-7 * 6 + x * 6) + 4(x + -2) + -2x + -6 = 11 + x (-42 + 6x) + 4(x + -2) + -2x + -6 = 11 + x Reorder the terms: -42 + 6x + 4(-2 + x) + -2x + -6 = 11 + x -42 + 6x + (-2 * 4 + x * 4) + -2x + -6 = 11 + x -42 + 6x + (-8 + 4x) + -2x + -6 = 11 + x Reorder the terms: -42 + -8 + -6 + 6x + 4x + -2x = 11 + x Combine like terms: -42 + -8 = -50 -50 + -6 + 6x + 4x + -2x = 11 + x Combine like terms: -50 + -6 = -56 -56 + 6x + 4x + -2x = 11 + x Combine like terms: 6x + 4x = 10x -56 + 10x + -2x = 11 + x Combine like terms: 10x + -2x = 8x -56 + 8x = 11 + x Solving -56 + 8x = 11 + 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. -56 + 8x + -1x = 11 + x + -1x Combine like terms: 8x + -1x = 7x -56 + 7x = 11 + x + -1x Combine like terms: x + -1x = 0 -56 + 7x = 11 + 0 -56 + 7x = 11 Add '56' to each side of the equation. -56 + 56 + 7x = 11 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = 11 + 56 7x = 11 + 56 Combine like terms: 11 + 56 = 67 7x = 67 Divide each side by '7'. x = 9.571428571 Simplifying x = 9.571428571
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