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Simplifying 4x + -7 = 5(x + -2) + 2x Reorder the terms: -7 + 4x = 5(x + -2) + 2x Reorder the terms: -7 + 4x = 5(-2 + x) + 2x -7 + 4x = (-2 * 5 + x * 5) + 2x -7 + 4x = (-10 + 5x) + 2x Combine like terms: 5x + 2x = 7x -7 + 4x = -10 + 7x Solving -7 + 4x = -10 + 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 + 4x + -7x = -10 + 7x + -7x Combine like terms: 4x + -7x = -3x -7 + -3x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -3x = -10 + 0 -7 + -3x = -10 Add '7' to each side of the equation. -7 + 7 + -3x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -10 + 7 -3x = -10 + 7 Combine like terms: -10 + 7 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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