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Simplifying 4(x + -4) + -5(4x + -3) = 19 + -7(6x + 5) Reorder the terms: 4(-4 + x) + -5(4x + -3) = 19 + -7(6x + 5) (-4 * 4 + x * 4) + -5(4x + -3) = 19 + -7(6x + 5) (-16 + 4x) + -5(4x + -3) = 19 + -7(6x + 5) Reorder the terms: -16 + 4x + -5(-3 + 4x) = 19 + -7(6x + 5) -16 + 4x + (-3 * -5 + 4x * -5) = 19 + -7(6x + 5) -16 + 4x + (15 + -20x) = 19 + -7(6x + 5) Reorder the terms: -16 + 15 + 4x + -20x = 19 + -7(6x + 5) Combine like terms: -16 + 15 = -1 -1 + 4x + -20x = 19 + -7(6x + 5) Combine like terms: 4x + -20x = -16x -1 + -16x = 19 + -7(6x + 5) Reorder the terms: -1 + -16x = 19 + -7(5 + 6x) -1 + -16x = 19 + (5 * -7 + 6x * -7) -1 + -16x = 19 + (-35 + -42x) Combine like terms: 19 + -35 = -16 -1 + -16x = -16 + -42x Solving -1 + -16x = -16 + -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. -1 + -16x + 42x = -16 + -42x + 42x Combine like terms: -16x + 42x = 26x -1 + 26x = -16 + -42x + 42x Combine like terms: -42x + 42x = 0 -1 + 26x = -16 + 0 -1 + 26x = -16 Add '1' to each side of the equation. -1 + 1 + 26x = -16 + 1 Combine like terms: -1 + 1 = 0 0 + 26x = -16 + 1 26x = -16 + 1 Combine like terms: -16 + 1 = -15 26x = -15 Divide each side by '26'. x = -0.5769230769 Simplifying x = -0.5769230769
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