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Simplifying 4(2x + -3) + 5 = 6x + 23 Reorder the terms: 4(-3 + 2x) + 5 = 6x + 23 (-3 * 4 + 2x * 4) + 5 = 6x + 23 (-12 + 8x) + 5 = 6x + 23 Reorder the terms: -12 + 5 + 8x = 6x + 23 Combine like terms: -12 + 5 = -7 -7 + 8x = 6x + 23 Reorder the terms: -7 + 8x = 23 + 6x Solving -7 + 8x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 8x + -6x = 23 + 6x + -6x Combine like terms: 8x + -6x = 2x -7 + 2x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 2x = 23 + 0 -7 + 2x = 23 Add '7' to each side of the equation. -7 + 7 + 2x = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 23 + 7 2x = 23 + 7 Combine like terms: 23 + 7 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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