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Simplifying 6x + -19 = 3(x + -45) Reorder the terms: -19 + 6x = 3(x + -45) Reorder the terms: -19 + 6x = 3(-45 + x) -19 + 6x = (-45 * 3 + x * 3) -19 + 6x = (-135 + 3x) Solving -19 + 6x = -135 + 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. -19 + 6x + -3x = -135 + 3x + -3x Combine like terms: 6x + -3x = 3x -19 + 3x = -135 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 3x = -135 + 0 -19 + 3x = -135 Add '19' to each side of the equation. -19 + 19 + 3x = -135 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = -135 + 19 3x = -135 + 19 Combine like terms: -135 + 19 = -116 3x = -116 Divide each side by '3'. x = -38.66666667 Simplifying x = -38.66666667
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