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Simplifying 7x + -5(3x + 2) = x + -4 Reorder the terms: 7x + -5(2 + 3x) = x + -4 7x + (2 * -5 + 3x * -5) = x + -4 7x + (-10 + -15x) = x + -4 Reorder the terms: -10 + 7x + -15x = x + -4 Combine like terms: 7x + -15x = -8x -10 + -8x = x + -4 Reorder the terms: -10 + -8x = -4 + x Solving -10 + -8x = -4 + 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. -10 + -8x + -1x = -4 + x + -1x Combine like terms: -8x + -1x = -9x -10 + -9x = -4 + x + -1x Combine like terms: x + -1x = 0 -10 + -9x = -4 + 0 -10 + -9x = -4 Add '10' to each side of the equation. -10 + 10 + -9x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -4 + 10 -9x = -4 + 10 Combine like terms: -4 + 10 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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