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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 = 2x 1 + 2x = 12x + 7 Reorder the terms: 1 + 2x = 7 + 12x Solving 1 + 2x = 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 + 2x + -12x = 7 + 12x + -12x Combine like terms: 2x + -12x = -10x 1 + -10x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -10x = 7 + 0 1 + -10x = 7 Add '-1' to each side of the equation. 1 + -1 + -10x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 7 + -1 -10x = 7 + -1 Combine like terms: 7 + -1 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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