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Simplifying 4x + -3 = (6x + 5) + -12 Reorder the terms: -3 + 4x = (6x + 5) + -12 Reorder the terms: -3 + 4x = (5 + 6x) + -12 Remove parenthesis around (5 + 6x) -3 + 4x = 5 + 6x + -12 Reorder the terms: -3 + 4x = 5 + -12 + 6x Combine like terms: 5 + -12 = -7 -3 + 4x = -7 + 6x Solving -3 + 4x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 4x + -6x = -7 + 6x + -6x Combine like terms: 4x + -6x = -2x -3 + -2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x = -7 + 0 -3 + -2x = -7 Add '3' to each side of the equation. -3 + 3 + -2x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -7 + 3 -2x = -7 + 3 Combine like terms: -7 + 3 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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