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Simplifying 4(2x + -3) + -5 = 2x + 9 Reorder the terms: 4(-3 + 2x) + -5 = 2x + 9 (-3 * 4 + 2x * 4) + -5 = 2x + 9 (-12 + 8x) + -5 = 2x + 9 Reorder the terms: -12 + -5 + 8x = 2x + 9 Combine like terms: -12 + -5 = -17 -17 + 8x = 2x + 9 Reorder the terms: -17 + 8x = 9 + 2x Solving -17 + 8x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 8x + -2x = 9 + 2x + -2x Combine like terms: 8x + -2x = 6x -17 + 6x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 6x = 9 + 0 -17 + 6x = 9 Add '17' to each side of the equation. -17 + 17 + 6x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 9 + 17 6x = 9 + 17 Combine like terms: 9 + 17 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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