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Simplifying 2 + -3(x + 4) + 2x = 7x + -10 Reorder the terms: 2 + -3(4 + x) + 2x = 7x + -10 2 + (4 * -3 + x * -3) + 2x = 7x + -10 2 + (-12 + -3x) + 2x = 7x + -10 Combine like terms: 2 + -12 = -10 -10 + -3x + 2x = 7x + -10 Combine like terms: -3x + 2x = -1x -10 + -1x = 7x + -10 Reorder the terms: -10 + -1x = -10 + 7x Add '10' to each side of the equation. -10 + 10 + -1x = -10 + 10 + 7x Combine like terms: -10 + 10 = 0 0 + -1x = -10 + 10 + 7x -1x = -10 + 10 + 7x Combine like terms: -10 + 10 = 0 -1x = 0 + 7x -1x = 7x Solving -1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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