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