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Simplifying 3(x + -2) + 5 = 7 + -4(x + 3) Reorder the terms: 3(-2 + x) + 5 = 7 + -4(x + 3) (-2 * 3 + x * 3) + 5 = 7 + -4(x + 3) (-6 + 3x) + 5 = 7 + -4(x + 3) Reorder the terms: -6 + 5 + 3x = 7 + -4(x + 3) Combine like terms: -6 + 5 = -1 -1 + 3x = 7 + -4(x + 3) Reorder the terms: -1 + 3x = 7 + -4(3 + x) -1 + 3x = 7 + (3 * -4 + x * -4) -1 + 3x = 7 + (-12 + -4x) Combine like terms: 7 + -12 = -5 -1 + 3x = -5 + -4x Solving -1 + 3x = -5 + -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. -1 + 3x + 4x = -5 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = -5 + 0 -1 + 7x = -5 Add '1' to each side of the equation. -1 + 1 + 7x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -5 + 1 7x = -5 + 1 Combine like terms: -5 + 1 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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