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Simplifying 3(x + -7) + -6(3 + -2x) = 19 + -4(2x + 3) Reorder the terms: 3(-7 + x) + -6(3 + -2x) = 19 + -4(2x + 3) (-7 * 3 + x * 3) + -6(3 + -2x) = 19 + -4(2x + 3) (-21 + 3x) + -6(3 + -2x) = 19 + -4(2x + 3) -21 + 3x + (3 * -6 + -2x * -6) = 19 + -4(2x + 3) -21 + 3x + (-18 + 12x) = 19 + -4(2x + 3) Reorder the terms: -21 + -18 + 3x + 12x = 19 + -4(2x + 3) Combine like terms: -21 + -18 = -39 -39 + 3x + 12x = 19 + -4(2x + 3) Combine like terms: 3x + 12x = 15x -39 + 15x = 19 + -4(2x + 3) Reorder the terms: -39 + 15x = 19 + -4(3 + 2x) -39 + 15x = 19 + (3 * -4 + 2x * -4) -39 + 15x = 19 + (-12 + -8x) Combine like terms: 19 + -12 = 7 -39 + 15x = 7 + -8x Solving -39 + 15x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -39 + 15x + 8x = 7 + -8x + 8x Combine like terms: 15x + 8x = 23x -39 + 23x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 -39 + 23x = 7 + 0 -39 + 23x = 7 Add '39' to each side of the equation. -39 + 39 + 23x = 7 + 39 Combine like terms: -39 + 39 = 0 0 + 23x = 7 + 39 23x = 7 + 39 Combine like terms: 7 + 39 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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