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Simplifying 6x + -3 = 4(2x + 5) + 45 Reorder the terms: -3 + 6x = 4(2x + 5) + 45 Reorder the terms: -3 + 6x = 4(5 + 2x) + 45 -3 + 6x = (5 * 4 + 2x * 4) + 45 -3 + 6x = (20 + 8x) + 45 Reorder the terms: -3 + 6x = 20 + 45 + 8x Combine like terms: 20 + 45 = 65 -3 + 6x = 65 + 8x Solving -3 + 6x = 65 + 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. -3 + 6x + -8x = 65 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = 65 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = 65 + 0 -3 + -2x = 65 Add '3' to each side of the equation. -3 + 3 + -2x = 65 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 65 + 3 -2x = 65 + 3 Combine like terms: 65 + 3 = 68 -2x = 68 Divide each side by '-2'. x = -34 Simplifying x = -34
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