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Simplifying 1 + 8x + 4x = 7(2x + -5) + -4(x + -3) Combine like terms: 8x + 4x = 12x 1 + 12x = 7(2x + -5) + -4(x + -3) Reorder the terms: 1 + 12x = 7(-5 + 2x) + -4(x + -3) 1 + 12x = (-5 * 7 + 2x * 7) + -4(x + -3) 1 + 12x = (-35 + 14x) + -4(x + -3) Reorder the terms: 1 + 12x = -35 + 14x + -4(-3 + x) 1 + 12x = -35 + 14x + (-3 * -4 + x * -4) 1 + 12x = -35 + 14x + (12 + -4x) Reorder the terms: 1 + 12x = -35 + 12 + 14x + -4x Combine like terms: -35 + 12 = -23 1 + 12x = -23 + 14x + -4x Combine like terms: 14x + -4x = 10x 1 + 12x = -23 + 10x Solving 1 + 12x = -23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 12x + -10x = -23 + 10x + -10x Combine like terms: 12x + -10x = 2x 1 + 2x = -23 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 2x = -23 + 0 1 + 2x = -23 Add '-1' to each side of the equation. 1 + -1 + 2x = -23 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -23 + -1 2x = -23 + -1 Combine like terms: -23 + -1 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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