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Simplifying 4(2x + -3) + -1x + 5 = -7x + -2 Reorder the terms: 4(-3 + 2x) + -1x + 5 = -7x + -2 (-3 * 4 + 2x * 4) + -1x + 5 = -7x + -2 (-12 + 8x) + -1x + 5 = -7x + -2 Reorder the terms: -12 + 5 + 8x + -1x = -7x + -2 Combine like terms: -12 + 5 = -7 -7 + 8x + -1x = -7x + -2 Combine like terms: 8x + -1x = 7x -7 + 7x = -7x + -2 Reorder the terms: -7 + 7x = -2 + -7x Solving -7 + 7x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + 7x + 7x = -2 + -7x + 7x Combine like terms: 7x + 7x = 14x -7 + 14x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 14x = -2 + 0 -7 + 14x = -2 Add '7' to each side of the equation. -7 + 7 + 14x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = -2 + 7 14x = -2 + 7 Combine like terms: -2 + 7 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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