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Simplifying 10(x + -5) + 12 = 2x + -6 Reorder the terms: 10(-5 + x) + 12 = 2x + -6 (-5 * 10 + x * 10) + 12 = 2x + -6 (-50 + 10x) + 12 = 2x + -6 Reorder the terms: -50 + 12 + 10x = 2x + -6 Combine like terms: -50 + 12 = -38 -38 + 10x = 2x + -6 Reorder the terms: -38 + 10x = -6 + 2x Solving -38 + 10x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 10x + -2x = -6 + 2x + -2x Combine like terms: 10x + -2x = 8x -38 + 8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 8x = -6 + 0 -38 + 8x = -6 Add '38' to each side of the equation. -38 + 38 + 8x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = -6 + 38 8x = -6 + 38 Combine like terms: -6 + 38 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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