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Simplifying 10 + -7(6 + -5x) = 4(6 + -1x) + -10x 10 + (6 * -7 + -5x * -7) = 4(6 + -1x) + -10x 10 + (-42 + 35x) = 4(6 + -1x) + -10x Combine like terms: 10 + -42 = -32 -32 + 35x = 4(6 + -1x) + -10x -32 + 35x = (6 * 4 + -1x * 4) + -10x -32 + 35x = (24 + -4x) + -10x Combine like terms: -4x + -10x = -14x -32 + 35x = 24 + -14x Solving -32 + 35x = 24 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -32 + 35x + 14x = 24 + -14x + 14x Combine like terms: 35x + 14x = 49x -32 + 49x = 24 + -14x + 14x Combine like terms: -14x + 14x = 0 -32 + 49x = 24 + 0 -32 + 49x = 24 Add '32' to each side of the equation. -32 + 32 + 49x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 49x = 24 + 32 49x = 24 + 32 Combine like terms: 24 + 32 = 56 49x = 56 Divide each side by '49'. x = 1.142857143 Simplifying x = 1.142857143
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