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Simplifying 3(x + -5) = 19 + -1(x + -2) Reorder the terms: 3(-5 + x) = 19 + -1(x + -2) (-5 * 3 + x * 3) = 19 + -1(x + -2) (-15 + 3x) = 19 + -1(x + -2) Reorder the terms: -15 + 3x = 19 + -1(-2 + x) -15 + 3x = 19 + (-2 * -1 + x * -1) -15 + 3x = 19 + (2 + -1x) Combine like terms: 19 + 2 = 21 -15 + 3x = 21 + -1x Solving -15 + 3x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 3x + x = 21 + -1x + x Combine like terms: 3x + x = 4x -15 + 4x = 21 + -1x + x Combine like terms: -1x + x = 0 -15 + 4x = 21 + 0 -15 + 4x = 21 Add '15' to each side of the equation. -15 + 15 + 4x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 21 + 15 4x = 21 + 15 Combine like terms: 21 + 15 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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