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Simplifying 3(x + -5) + -7 = -4(x + -2) Reorder the terms: 3(-5 + x) + -7 = -4(x + -2) (-5 * 3 + x * 3) + -7 = -4(x + -2) (-15 + 3x) + -7 = -4(x + -2) Reorder the terms: -15 + -7 + 3x = -4(x + -2) Combine like terms: -15 + -7 = -22 -22 + 3x = -4(x + -2) Reorder the terms: -22 + 3x = -4(-2 + x) -22 + 3x = (-2 * -4 + x * -4) -22 + 3x = (8 + -4x) Solving -22 + 3x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -22 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x -22 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -22 + 7x = 8 + 0 -22 + 7x = 8 Add '22' to each side of the equation. -22 + 22 + 7x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 7x = 8 + 22 7x = 8 + 22 Combine like terms: 8 + 22 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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