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Simplifying 2(3x + -5) + 4 = 4(2x + 3) + -23 Reorder the terms: 2(-5 + 3x) + 4 = 4(2x + 3) + -23 (-5 * 2 + 3x * 2) + 4 = 4(2x + 3) + -23 (-10 + 6x) + 4 = 4(2x + 3) + -23 Reorder the terms: -10 + 4 + 6x = 4(2x + 3) + -23 Combine like terms: -10 + 4 = -6 -6 + 6x = 4(2x + 3) + -23 Reorder the terms: -6 + 6x = 4(3 + 2x) + -23 -6 + 6x = (3 * 4 + 2x * 4) + -23 -6 + 6x = (12 + 8x) + -23 Reorder the terms: -6 + 6x = 12 + -23 + 8x Combine like terms: 12 + -23 = -11 -6 + 6x = -11 + 8x Solving -6 + 6x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 6x + -8x = -11 + 8x + -8x Combine like terms: 6x + -8x = -2x -6 + -2x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -2x = -11 + 0 -6 + -2x = -11 Add '6' to each side of the equation. -6 + 6 + -2x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -11 + 6 -2x = -11 + 6 Combine like terms: -11 + 6 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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