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Simplifying 6(x + 4) + -6(7x + 6) = -37(x + 1) + 10 Reorder the terms: 6(4 + x) + -6(7x + 6) = -37(x + 1) + 10 (4 * 6 + x * 6) + -6(7x + 6) = -37(x + 1) + 10 (24 + 6x) + -6(7x + 6) = -37(x + 1) + 10 Reorder the terms: 24 + 6x + -6(6 + 7x) = -37(x + 1) + 10 24 + 6x + (6 * -6 + 7x * -6) = -37(x + 1) + 10 24 + 6x + (-36 + -42x) = -37(x + 1) + 10 Reorder the terms: 24 + -36 + 6x + -42x = -37(x + 1) + 10 Combine like terms: 24 + -36 = -12 -12 + 6x + -42x = -37(x + 1) + 10 Combine like terms: 6x + -42x = -36x -12 + -36x = -37(x + 1) + 10 Reorder the terms: -12 + -36x = -37(1 + x) + 10 -12 + -36x = (1 * -37 + x * -37) + 10 -12 + -36x = (-37 + -37x) + 10 Reorder the terms: -12 + -36x = -37 + 10 + -37x Combine like terms: -37 + 10 = -27 -12 + -36x = -27 + -37x Solving -12 + -36x = -27 + -37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37x' to each side of the equation. -12 + -36x + 37x = -27 + -37x + 37x Combine like terms: -36x + 37x = 1x -12 + 1x = -27 + -37x + 37x Combine like terms: -37x + 37x = 0 -12 + 1x = -27 + 0 -12 + 1x = -27 Add '12' to each side of the equation. -12 + 12 + 1x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -27 + 12 1x = -27 + 12 Combine like terms: -27 + 12 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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