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Simplifying -19 = 5(6x + 7) + 3(4x + -4) Reorder the terms: -19 = 5(7 + 6x) + 3(4x + -4) -19 = (7 * 5 + 6x * 5) + 3(4x + -4) -19 = (35 + 30x) + 3(4x + -4) Reorder the terms: -19 = 35 + 30x + 3(-4 + 4x) -19 = 35 + 30x + (-4 * 3 + 4x * 3) -19 = 35 + 30x + (-12 + 12x) Reorder the terms: -19 = 35 + -12 + 30x + 12x Combine like terms: 35 + -12 = 23 -19 = 23 + 30x + 12x Combine like terms: 30x + 12x = 42x -19 = 23 + 42x Solving -19 = 23 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -19 + -42x = 23 + 42x + -42x Combine like terms: 42x + -42x = 0 -19 + -42x = 23 + 0 -19 + -42x = 23 Add '19' to each side of the equation. -19 + 19 + -42x = 23 + 19 Combine like terms: -19 + 19 = 0 0 + -42x = 23 + 19 -42x = 23 + 19 Combine like terms: 23 + 19 = 42 -42x = 42 Divide each side by '-42'. x = -1 Simplifying x = -1
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