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Simplifying 4(2x + -3) + -37 = 5(4 + -3x) Reorder the terms: 4(-3 + 2x) + -37 = 5(4 + -3x) (-3 * 4 + 2x * 4) + -37 = 5(4 + -3x) (-12 + 8x) + -37 = 5(4 + -3x) Reorder the terms: -12 + -37 + 8x = 5(4 + -3x) Combine like terms: -12 + -37 = -49 -49 + 8x = 5(4 + -3x) -49 + 8x = (4 * 5 + -3x * 5) -49 + 8x = (20 + -15x) Solving -49 + 8x = 20 + -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. -49 + 8x + 15x = 20 + -15x + 15x Combine like terms: 8x + 15x = 23x -49 + 23x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 -49 + 23x = 20 + 0 -49 + 23x = 20 Add '49' to each side of the equation. -49 + 49 + 23x = 20 + 49 Combine like terms: -49 + 49 = 0 0 + 23x = 20 + 49 23x = 20 + 49 Combine like terms: 20 + 49 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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