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Simplifying -0.75(16x + 8) = 19 + -1(10x + -3) Reorder the terms: -0.75(8 + 16x) = 19 + -1(10x + -3) (8 * -0.75 + 16x * -0.75) = 19 + -1(10x + -3) (-6 + -12x) = 19 + -1(10x + -3) Reorder the terms: -6 + -12x = 19 + -1(-3 + 10x) -6 + -12x = 19 + (-3 * -1 + 10x * -1) -6 + -12x = 19 + (3 + -10x) Combine like terms: 19 + 3 = 22 -6 + -12x = 22 + -10x Solving -6 + -12x = 22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6 + -12x + 10x = 22 + -10x + 10x Combine like terms: -12x + 10x = -2x -6 + -2x = 22 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + -2x = 22 + 0 -6 + -2x = 22 Add '6' to each side of the equation. -6 + 6 + -2x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 22 + 6 -2x = 22 + 6 Combine like terms: 22 + 6 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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