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Simplifying 7(x + -3) + 5 = 4(3x + -2) + -8 Reorder the terms: 7(-3 + x) + 5 = 4(3x + -2) + -8 (-3 * 7 + x * 7) + 5 = 4(3x + -2) + -8 (-21 + 7x) + 5 = 4(3x + -2) + -8 Reorder the terms: -21 + 5 + 7x = 4(3x + -2) + -8 Combine like terms: -21 + 5 = -16 -16 + 7x = 4(3x + -2) + -8 Reorder the terms: -16 + 7x = 4(-2 + 3x) + -8 -16 + 7x = (-2 * 4 + 3x * 4) + -8 -16 + 7x = (-8 + 12x) + -8 Reorder the terms: -16 + 7x = -8 + -8 + 12x Combine like terms: -8 + -8 = -16 -16 + 7x = -16 + 12x Add '16' to each side of the equation. -16 + 16 + 7x = -16 + 16 + 12x Combine like terms: -16 + 16 = 0 0 + 7x = -16 + 16 + 12x 7x = -16 + 16 + 12x Combine like terms: -16 + 16 = 0 7x = 0 + 12x 7x = 12x Solving 7x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x -5x = 12x + -12x Combine like terms: 12x + -12x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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