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Simplifying 2x + -3(4 + x) = 19 + -2x 2x + (4 * -3 + x * -3) = 19 + -2x 2x + (-12 + -3x) = 19 + -2x Reorder the terms: -12 + 2x + -3x = 19 + -2x Combine like terms: 2x + -3x = -1x -12 + -1x = 19 + -2x Solving -12 + -1x = 19 + -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 + -1x + 2x = 19 + -2x + 2x Combine like terms: -1x + 2x = 1x -12 + 1x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 1x = 19 + 0 -12 + 1x = 19 Add '12' to each side of the equation. -12 + 12 + 1x = 19 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 19 + 12 1x = 19 + 12 Combine like terms: 19 + 12 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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