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Simplifying 2x + 10 = -2(3x + 4) + 2 Reorder the terms: 10 + 2x = -2(3x + 4) + 2 Reorder the terms: 10 + 2x = -2(4 + 3x) + 2 10 + 2x = (4 * -2 + 3x * -2) + 2 10 + 2x = (-8 + -6x) + 2 Reorder the terms: 10 + 2x = -8 + 2 + -6x Combine like terms: -8 + 2 = -6 10 + 2x = -6 + -6x Solving 10 + 2x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 2x + 6x = -6 + -6x + 6x Combine like terms: 2x + 6x = 8x 10 + 8x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 8x = -6 + 0 10 + 8x = -6 Add '-10' to each side of the equation. 10 + -10 + 8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -6 + -10 8x = -6 + -10 Combine like terms: -6 + -10 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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