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Simplifying 3(x + -2) + -4(x + 3) = 19 Reorder the terms: 3(-2 + x) + -4(x + 3) = 19 (-2 * 3 + x * 3) + -4(x + 3) = 19 (-6 + 3x) + -4(x + 3) = 19 Reorder the terms: -6 + 3x + -4(3 + x) = 19 -6 + 3x + (3 * -4 + x * -4) = 19 -6 + 3x + (-12 + -4x) = 19 Reorder the terms: -6 + -12 + 3x + -4x = 19 Combine like terms: -6 + -12 = -18 -18 + 3x + -4x = 19 Combine like terms: 3x + -4x = -1x -18 + -1x = 19 Solving -18 + -1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 19 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 19 + 18 -1x = 19 + 18 Combine like terms: 19 + 18 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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