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Simplifying 10x + -3(2x + -4) = 2x + 3 Reorder the terms: 10x + -3(-4 + 2x) = 2x + 3 10x + (-4 * -3 + 2x * -3) = 2x + 3 10x + (12 + -6x) = 2x + 3 Reorder the terms: 12 + 10x + -6x = 2x + 3 Combine like terms: 10x + -6x = 4x 12 + 4x = 2x + 3 Reorder the terms: 12 + 4x = 3 + 2x Solving 12 + 4x = 3 + 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. 12 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 3 + 0 12 + 2x = 3 Add '-12' to each side of the equation. 12 + -12 + 2x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 3 + -12 2x = 3 + -12 Combine like terms: 3 + -12 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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