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Simplifying 4x + -3(4 + -5x) = 9 + -1(x + -19) 4x + (4 * -3 + -5x * -3) = 9 + -1(x + -19) 4x + (-12 + 15x) = 9 + -1(x + -19) Reorder the terms: -12 + 4x + 15x = 9 + -1(x + -19) Combine like terms: 4x + 15x = 19x -12 + 19x = 9 + -1(x + -19) Reorder the terms: -12 + 19x = 9 + -1(-19 + x) -12 + 19x = 9 + (-19 * -1 + x * -1) -12 + 19x = 9 + (19 + -1x) Combine like terms: 9 + 19 = 28 -12 + 19x = 28 + -1x Solving -12 + 19x = 28 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 19x + x = 28 + -1x + x Combine like terms: 19x + x = 20x -12 + 20x = 28 + -1x + x Combine like terms: -1x + x = 0 -12 + 20x = 28 + 0 -12 + 20x = 28 Add '12' to each side of the equation. -12 + 12 + 20x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 28 + 12 20x = 28 + 12 Combine like terms: 28 + 12 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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