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Simplifying 4(x + -2) + 5 = 3x + -7 Reorder the terms: 4(-2 + x) + 5 = 3x + -7 (-2 * 4 + x * 4) + 5 = 3x + -7 (-8 + 4x) + 5 = 3x + -7 Reorder the terms: -8 + 5 + 4x = 3x + -7 Combine like terms: -8 + 5 = -3 -3 + 4x = 3x + -7 Reorder the terms: -3 + 4x = -7 + 3x Solving -3 + 4x = -7 + 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. -3 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -3 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 1x = -7 + 0 -3 + 1x = -7 Add '3' to each side of the equation. -3 + 3 + 1x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -7 + 3 1x = -7 + 3 Combine like terms: -7 + 3 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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