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Simplifying 4x + -3(2x + 5) = 6x + 49 Reorder the terms: 4x + -3(5 + 2x) = 6x + 49 4x + (5 * -3 + 2x * -3) = 6x + 49 4x + (-15 + -6x) = 6x + 49 Reorder the terms: -15 + 4x + -6x = 6x + 49 Combine like terms: 4x + -6x = -2x -15 + -2x = 6x + 49 Reorder the terms: -15 + -2x = 49 + 6x Solving -15 + -2x = 49 + 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. -15 + -2x + -6x = 49 + 6x + -6x Combine like terms: -2x + -6x = -8x -15 + -8x = 49 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -8x = 49 + 0 -15 + -8x = 49 Add '15' to each side of the equation. -15 + 15 + -8x = 49 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 49 + 15 -8x = 49 + 15 Combine like terms: 49 + 15 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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