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Simplifying 7(2x + 6) + -4(2x + -3) = 13x + 5 Reorder the terms: 7(6 + 2x) + -4(2x + -3) = 13x + 5 (6 * 7 + 2x * 7) + -4(2x + -3) = 13x + 5 (42 + 14x) + -4(2x + -3) = 13x + 5 Reorder the terms: 42 + 14x + -4(-3 + 2x) = 13x + 5 42 + 14x + (-3 * -4 + 2x * -4) = 13x + 5 42 + 14x + (12 + -8x) = 13x + 5 Reorder the terms: 42 + 12 + 14x + -8x = 13x + 5 Combine like terms: 42 + 12 = 54 54 + 14x + -8x = 13x + 5 Combine like terms: 14x + -8x = 6x 54 + 6x = 13x + 5 Reorder the terms: 54 + 6x = 5 + 13x Solving 54 + 6x = 5 + 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. 54 + 6x + -13x = 5 + 13x + -13x Combine like terms: 6x + -13x = -7x 54 + -7x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 54 + -7x = 5 + 0 54 + -7x = 5 Add '-54' to each side of the equation. 54 + -54 + -7x = 5 + -54 Combine like terms: 54 + -54 = 0 0 + -7x = 5 + -54 -7x = 5 + -54 Combine like terms: 5 + -54 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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