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Simplifying 10x + -4(x + -3) = 10 + 4x Reorder the terms: 10x + -4(-3 + x) = 10 + 4x 10x + (-3 * -4 + x * -4) = 10 + 4x 10x + (12 + -4x) = 10 + 4x Reorder the terms: 12 + 10x + -4x = 10 + 4x Combine like terms: 10x + -4x = 6x 12 + 6x = 10 + 4x Solving 12 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 10 + 0 12 + 2x = 10 Add '-12' to each side of the equation. 12 + -12 + 2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 10 + -12 2x = 10 + -12 Combine like terms: 10 + -12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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