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Simplifying 4(x + -3) + 2x = 3x + -7 Reorder the terms: 4(-3 + x) + 2x = 3x + -7 (-3 * 4 + x * 4) + 2x = 3x + -7 (-12 + 4x) + 2x = 3x + -7 Combine like terms: 4x + 2x = 6x -12 + 6x = 3x + -7 Reorder the terms: -12 + 6x = -7 + 3x Solving -12 + 6x = -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. -12 + 6x + -3x = -7 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = -7 + 0 -12 + 3x = -7 Add '12' to each side of the equation. -12 + 12 + 3x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -7 + 12 3x = -7 + 12 Combine like terms: -7 + 12 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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