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Simplifying 10(x + 4) + -6x = 12x + -8 Reorder the terms: 10(4 + x) + -6x = 12x + -8 (4 * 10 + x * 10) + -6x = 12x + -8 (40 + 10x) + -6x = 12x + -8 Combine like terms: 10x + -6x = 4x 40 + 4x = 12x + -8 Reorder the terms: 40 + 4x = -8 + 12x Solving 40 + 4x = -8 + 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. 40 + 4x + -12x = -8 + 12x + -12x Combine like terms: 4x + -12x = -8x 40 + -8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -8x = -8 + 0 40 + -8x = -8 Add '-40' to each side of the equation. 40 + -40 + -8x = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -8 + -40 -8x = -8 + -40 Combine like terms: -8 + -40 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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