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Simplifying 4(2x + -3) + -5(3x + 1) = 4 Reorder the terms: 4(-3 + 2x) + -5(3x + 1) = 4 (-3 * 4 + 2x * 4) + -5(3x + 1) = 4 (-12 + 8x) + -5(3x + 1) = 4 Reorder the terms: -12 + 8x + -5(1 + 3x) = 4 -12 + 8x + (1 * -5 + 3x * -5) = 4 -12 + 8x + (-5 + -15x) = 4 Reorder the terms: -12 + -5 + 8x + -15x = 4 Combine like terms: -12 + -5 = -17 -17 + 8x + -15x = 4 Combine like terms: 8x + -15x = -7x -17 + -7x = 4 Solving -17 + -7x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -7x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 4 + 17 -7x = 4 + 17 Combine like terms: 4 + 17 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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