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Simplifying 12x + -5 + 2x = 6(4x + -2) + 5 Reorder the terms: -5 + 12x + 2x = 6(4x + -2) + 5 Combine like terms: 12x + 2x = 14x -5 + 14x = 6(4x + -2) + 5 Reorder the terms: -5 + 14x = 6(-2 + 4x) + 5 -5 + 14x = (-2 * 6 + 4x * 6) + 5 -5 + 14x = (-12 + 24x) + 5 Reorder the terms: -5 + 14x = -12 + 5 + 24x Combine like terms: -12 + 5 = -7 -5 + 14x = -7 + 24x Solving -5 + 14x = -7 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -5 + 14x + -24x = -7 + 24x + -24x Combine like terms: 14x + -24x = -10x -5 + -10x = -7 + 24x + -24x Combine like terms: 24x + -24x = 0 -5 + -10x = -7 + 0 -5 + -10x = -7 Add '5' to each side of the equation. -5 + 5 + -10x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = -7 + 5 -10x = -7 + 5 Combine like terms: -7 + 5 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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