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Simplifying -2 + -5(3x + 4) = 16(x + -2) + -7x Reorder the terms: -2 + -5(4 + 3x) = 16(x + -2) + -7x -2 + (4 * -5 + 3x * -5) = 16(x + -2) + -7x -2 + (-20 + -15x) = 16(x + -2) + -7x Combine like terms: -2 + -20 = -22 -22 + -15x = 16(x + -2) + -7x Reorder the terms: -22 + -15x = 16(-2 + x) + -7x -22 + -15x = (-2 * 16 + x * 16) + -7x -22 + -15x = (-32 + 16x) + -7x Combine like terms: 16x + -7x = 9x -22 + -15x = -32 + 9x Solving -22 + -15x = -32 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -22 + -15x + -9x = -32 + 9x + -9x Combine like terms: -15x + -9x = -24x -22 + -24x = -32 + 9x + -9x Combine like terms: 9x + -9x = 0 -22 + -24x = -32 + 0 -22 + -24x = -32 Add '22' to each side of the equation. -22 + 22 + -24x = -32 + 22 Combine like terms: -22 + 22 = 0 0 + -24x = -32 + 22 -24x = -32 + 22 Combine like terms: -32 + 22 = -10 -24x = -10 Divide each side by '-24'. x = 0.4166666667 Simplifying x = 0.4166666667
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