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Simplifying (1x + -4) + -48x = 19 + -1(12x + 15) Reorder the terms: (-4 + 1x) + -48x = 19 + -1(12x + 15) Remove parenthesis around (-4 + 1x) -4 + 1x + -48x = 19 + -1(12x + 15) Combine like terms: 1x + -48x = -47x -4 + -47x = 19 + -1(12x + 15) Reorder the terms: -4 + -47x = 19 + -1(15 + 12x) -4 + -47x = 19 + (15 * -1 + 12x * -1) -4 + -47x = 19 + (-15 + -12x) Combine like terms: 19 + -15 = 4 -4 + -47x = 4 + -12x Solving -4 + -47x = 4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + -47x + 12x = 4 + -12x + 12x Combine like terms: -47x + 12x = -35x -4 + -35x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + -35x = 4 + 0 -4 + -35x = 4 Add '4' to each side of the equation. -4 + 4 + -35x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -35x = 4 + 4 -35x = 4 + 4 Combine like terms: 4 + 4 = 8 -35x = 8 Divide each side by '-35'. x = -0.2285714286 Simplifying x = -0.2285714286
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