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Simplifying 4(x + -2) + -3(2x + 2) = -6x + -10 Reorder the terms: 4(-2 + x) + -3(2x + 2) = -6x + -10 (-2 * 4 + x * 4) + -3(2x + 2) = -6x + -10 (-8 + 4x) + -3(2x + 2) = -6x + -10 Reorder the terms: -8 + 4x + -3(2 + 2x) = -6x + -10 -8 + 4x + (2 * -3 + 2x * -3) = -6x + -10 -8 + 4x + (-6 + -6x) = -6x + -10 Reorder the terms: -8 + -6 + 4x + -6x = -6x + -10 Combine like terms: -8 + -6 = -14 -14 + 4x + -6x = -6x + -10 Combine like terms: 4x + -6x = -2x -14 + -2x = -6x + -10 Reorder the terms: -14 + -2x = -10 + -6x Solving -14 + -2x = -10 + -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. -14 + -2x + 6x = -10 + -6x + 6x Combine like terms: -2x + 6x = 4x -14 + 4x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 4x = -10 + 0 -14 + 4x = -10 Add '14' to each side of the equation. -14 + 14 + 4x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -10 + 14 4x = -10 + 14 Combine like terms: -10 + 14 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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