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Simplifying 7(x + -8) + 19 = 3(x + -7) Reorder the terms: 7(-8 + x) + 19 = 3(x + -7) (-8 * 7 + x * 7) + 19 = 3(x + -7) (-56 + 7x) + 19 = 3(x + -7) Reorder the terms: -56 + 19 + 7x = 3(x + -7) Combine like terms: -56 + 19 = -37 -37 + 7x = 3(x + -7) Reorder the terms: -37 + 7x = 3(-7 + x) -37 + 7x = (-7 * 3 + x * 3) -37 + 7x = (-21 + 3x) Solving -37 + 7x = -21 + 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. -37 + 7x + -3x = -21 + 3x + -3x Combine like terms: 7x + -3x = 4x -37 + 4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -37 + 4x = -21 + 0 -37 + 4x = -21 Add '37' to each side of the equation. -37 + 37 + 4x = -21 + 37 Combine like terms: -37 + 37 = 0 0 + 4x = -21 + 37 4x = -21 + 37 Combine like terms: -21 + 37 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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