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Simplifying 10x + 2 = 4(2x + -3) Reorder the terms: 2 + 10x = 4(2x + -3) Reorder the terms: 2 + 10x = 4(-3 + 2x) 2 + 10x = (-3 * 4 + 2x * 4) 2 + 10x = (-12 + 8x) Solving 2 + 10x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 10x + -8x = -12 + 8x + -8x Combine like terms: 10x + -8x = 2x 2 + 2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 2x = -12 + 0 2 + 2x = -12 Add '-2' to each side of the equation. 2 + -2 + 2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -12 + -2 2x = -12 + -2 Combine like terms: -12 + -2 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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