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Simplifying 3x + -5(2x + 6) = 5 + 4(3x + -4) Reorder the terms: 3x + -5(6 + 2x) = 5 + 4(3x + -4) 3x + (6 * -5 + 2x * -5) = 5 + 4(3x + -4) 3x + (-30 + -10x) = 5 + 4(3x + -4) Reorder the terms: -30 + 3x + -10x = 5 + 4(3x + -4) Combine like terms: 3x + -10x = -7x -30 + -7x = 5 + 4(3x + -4) Reorder the terms: -30 + -7x = 5 + 4(-4 + 3x) -30 + -7x = 5 + (-4 * 4 + 3x * 4) -30 + -7x = 5 + (-16 + 12x) Combine like terms: 5 + -16 = -11 -30 + -7x = -11 + 12x Solving -30 + -7x = -11 + 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. -30 + -7x + -12x = -11 + 12x + -12x Combine like terms: -7x + -12x = -19x -30 + -19x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -19x = -11 + 0 -30 + -19x = -11 Add '30' to each side of the equation. -30 + 30 + -19x = -11 + 30 Combine like terms: -30 + 30 = 0 0 + -19x = -11 + 30 -19x = -11 + 30 Combine like terms: -11 + 30 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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