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Simplifying 3(x + -4) + 8x = 19 + -2(x + 3) Reorder the terms: 3(-4 + x) + 8x = 19 + -2(x + 3) (-4 * 3 + x * 3) + 8x = 19 + -2(x + 3) (-12 + 3x) + 8x = 19 + -2(x + 3) Combine like terms: 3x + 8x = 11x -12 + 11x = 19 + -2(x + 3) Reorder the terms: -12 + 11x = 19 + -2(3 + x) -12 + 11x = 19 + (3 * -2 + x * -2) -12 + 11x = 19 + (-6 + -2x) Combine like terms: 19 + -6 = 13 -12 + 11x = 13 + -2x Solving -12 + 11x = 13 + -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 + 11x + 2x = 13 + -2x + 2x Combine like terms: 11x + 2x = 13x -12 + 13x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 13x = 13 + 0 -12 + 13x = 13 Add '12' to each side of the equation. -12 + 12 + 13x = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 13 + 12 13x = 13 + 12 Combine like terms: 13 + 12 = 25 13x = 25 Divide each side by '13'. x = 1.923076923 Simplifying x = 1.923076923
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