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Simplifying 7(x + -3) + 8 = 2(x + -4) Reorder the terms: 7(-3 + x) + 8 = 2(x + -4) (-3 * 7 + x * 7) + 8 = 2(x + -4) (-21 + 7x) + 8 = 2(x + -4) Reorder the terms: -21 + 8 + 7x = 2(x + -4) Combine like terms: -21 + 8 = -13 -13 + 7x = 2(x + -4) Reorder the terms: -13 + 7x = 2(-4 + x) -13 + 7x = (-4 * 2 + x * 2) -13 + 7x = (-8 + 2x) Solving -13 + 7x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 7x + -2x = -8 + 2x + -2x Combine like terms: 7x + -2x = 5x -13 + 5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 5x = -8 + 0 -13 + 5x = -8 Add '13' to each side of the equation. -13 + 13 + 5x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = -8 + 13 5x = -8 + 13 Combine like terms: -8 + 13 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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