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Simplifying 4x + 3(2x + -7) = 15x + 13 Reorder the terms: 4x + 3(-7 + 2x) = 15x + 13 4x + (-7 * 3 + 2x * 3) = 15x + 13 4x + (-21 + 6x) = 15x + 13 Reorder the terms: -21 + 4x + 6x = 15x + 13 Combine like terms: 4x + 6x = 10x -21 + 10x = 15x + 13 Reorder the terms: -21 + 10x = 13 + 15x Solving -21 + 10x = 13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 10x + -15x = 13 + 15x + -15x Combine like terms: 10x + -15x = -5x -21 + -5x = 13 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -5x = 13 + 0 -21 + -5x = 13 Add '21' to each side of the equation. -21 + 21 + -5x = 13 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 13 + 21 -5x = 13 + 21 Combine like terms: 13 + 21 = 34 -5x = 34 Divide each side by '-5'. x = -6.8 Simplifying x = -6.8
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