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Simplifying 4x + -10 = 6 + -3(x + 2) Reorder the terms: -10 + 4x = 6 + -3(x + 2) Reorder the terms: -10 + 4x = 6 + -3(2 + x) -10 + 4x = 6 + (2 * -3 + x * -3) -10 + 4x = 6 + (-6 + -3x) Combine like terms: 6 + -6 = 0 -10 + 4x = 0 + -3x -10 + 4x = -3x Solving -10 + 4x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 4x + 3x = -3x + 3x Combine like terms: 4x + 3x = 7x -10 + 7x = -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 7x = 0 Add '10' to each side of the equation. -10 + 10 + 7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 0 + 10 7x = 0 + 10 Combine like terms: 0 + 10 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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