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Simplifying 6x + -3 = 13(x + -4) Reorder the terms: -3 + 6x = 13(x + -4) Reorder the terms: -3 + 6x = 13(-4 + x) -3 + 6x = (-4 * 13 + x * 13) -3 + 6x = (-52 + 13x) Solving -3 + 6x = -52 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -3 + 6x + -13x = -52 + 13x + -13x Combine like terms: 6x + -13x = -7x -3 + -7x = -52 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + -7x = -52 + 0 -3 + -7x = -52 Add '3' to each side of the equation. -3 + 3 + -7x = -52 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -52 + 3 -7x = -52 + 3 Combine like terms: -52 + 3 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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