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Simplifying 2(x + -3) + -4(2x + 1) = -3x + -19 Reorder the terms: 2(-3 + x) + -4(2x + 1) = -3x + -19 (-3 * 2 + x * 2) + -4(2x + 1) = -3x + -19 (-6 + 2x) + -4(2x + 1) = -3x + -19 Reorder the terms: -6 + 2x + -4(1 + 2x) = -3x + -19 -6 + 2x + (1 * -4 + 2x * -4) = -3x + -19 -6 + 2x + (-4 + -8x) = -3x + -19 Reorder the terms: -6 + -4 + 2x + -8x = -3x + -19 Combine like terms: -6 + -4 = -10 -10 + 2x + -8x = -3x + -19 Combine like terms: 2x + -8x = -6x -10 + -6x = -3x + -19 Reorder the terms: -10 + -6x = -19 + -3x Solving -10 + -6x = -19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + -6x + 3x = -19 + -3x + 3x Combine like terms: -6x + 3x = -3x -10 + -3x = -19 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -3x = -19 + 0 -10 + -3x = -19 Add '10' to each side of the equation. -10 + 10 + -3x = -19 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -19 + 10 -3x = -19 + 10 Combine like terms: -19 + 10 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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