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Simplifying 6x + -3 = 5 + 4(2x + -1) Reorder the terms: -3 + 6x = 5 + 4(2x + -1) Reorder the terms: -3 + 6x = 5 + 4(-1 + 2x) -3 + 6x = 5 + (-1 * 4 + 2x * 4) -3 + 6x = 5 + (-4 + 8x) Combine like terms: 5 + -4 = 1 -3 + 6x = 1 + 8x Solving -3 + 6x = 1 + 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 = 1 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = 1 + 0 -3 + -2x = 1 Add '3' to each side of the equation. -3 + 3 + -2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 1 + 3 -2x = 1 + 3 Combine like terms: 1 + 3 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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