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