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Simplifying 4x + -5 + 2(x + 3) = 12x + 7 Reorder the terms: 4x + -5 + 2(3 + x) = 12x + 7 4x + -5 + (3 * 2 + x * 2) = 12x + 7 4x + -5 + (6 + 2x) = 12x + 7 Reorder the terms: -5 + 6 + 4x + 2x = 12x + 7 Combine like terms: -5 + 6 = 1 1 + 4x + 2x = 12x + 7 Combine like terms: 4x + 2x = 6x 1 + 6x = 12x + 7 Reorder the terms: 1 + 6x = 7 + 12x Solving 1 + 6x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 6x + -12x = 7 + 12x + -12x Combine like terms: 6x + -12x = -6x 1 + -6x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -6x = 7 + 0 1 + -6x = 7 Add '-1' to each side of the equation. 1 + -1 + -6x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 7 + -1 -6x = 7 + -1 Combine like terms: 7 + -1 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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