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Simplifying -4x + 3(-1x + 3) = 3x + 19 Reorder the terms: -4x + 3(3 + -1x) = 3x + 19 -4x + (3 * 3 + -1x * 3) = 3x + 19 -4x + (9 + -3x) = 3x + 19 Reorder the terms: 9 + -4x + -3x = 3x + 19 Combine like terms: -4x + -3x = -7x 9 + -7x = 3x + 19 Reorder the terms: 9 + -7x = 19 + 3x Solving 9 + -7x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + -7x + -3x = 19 + 3x + -3x Combine like terms: -7x + -3x = -10x 9 + -10x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -10x = 19 + 0 9 + -10x = 19 Add '-9' to each side of the equation. 9 + -9 + -10x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = 19 + -9 -10x = 19 + -9 Combine like terms: 19 + -9 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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