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Simplifying -3(4 + -1x) = 5(7 + -3x) (4 * -3 + -1x * -3) = 5(7 + -3x) (-12 + 3x) = 5(7 + -3x) -12 + 3x = (7 * 5 + -3x * 5) -12 + 3x = (35 + -15x) Solving -12 + 3x = 35 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12 + 3x + 15x = 35 + -15x + 15x Combine like terms: 3x + 15x = 18x -12 + 18x = 35 + -15x + 15x Combine like terms: -15x + 15x = 0 -12 + 18x = 35 + 0 -12 + 18x = 35 Add '12' to each side of the equation. -12 + 12 + 18x = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 35 + 12 18x = 35 + 12 Combine like terms: 35 + 12 = 47 18x = 47 Divide each side by '18'. x = 2.611111111 Simplifying x = 2.611111111
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