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Simplifying 6x + -3(x + 5) = 7x + 4 Reorder the terms: 6x + -3(5 + x) = 7x + 4 6x + (5 * -3 + x * -3) = 7x + 4 6x + (-15 + -3x) = 7x + 4 Reorder the terms: -15 + 6x + -3x = 7x + 4 Combine like terms: 6x + -3x = 3x -15 + 3x = 7x + 4 Reorder the terms: -15 + 3x = 4 + 7x Solving -15 + 3x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 3x + -7x = 4 + 7x + -7x Combine like terms: 3x + -7x = -4x -15 + -4x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -4x = 4 + 0 -15 + -4x = 4 Add '15' to each side of the equation. -15 + 15 + -4x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 4 + 15 -4x = 4 + 15 Combine like terms: 4 + 15 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75
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