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Simplifying 7(2x + 6) + -4(2x + 3) = 13x + 19 Reorder the terms: 7(6 + 2x) + -4(2x + 3) = 13x + 19 (6 * 7 + 2x * 7) + -4(2x + 3) = 13x + 19 (42 + 14x) + -4(2x + 3) = 13x + 19 Reorder the terms: 42 + 14x + -4(3 + 2x) = 13x + 19 42 + 14x + (3 * -4 + 2x * -4) = 13x + 19 42 + 14x + (-12 + -8x) = 13x + 19 Reorder the terms: 42 + -12 + 14x + -8x = 13x + 19 Combine like terms: 42 + -12 = 30 30 + 14x + -8x = 13x + 19 Combine like terms: 14x + -8x = 6x 30 + 6x = 13x + 19 Reorder the terms: 30 + 6x = 19 + 13x Solving 30 + 6x = 19 + 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. 30 + 6x + -13x = 19 + 13x + -13x Combine like terms: 6x + -13x = -7x 30 + -7x = 19 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -7x = 19 + 0 30 + -7x = 19 Add '-30' to each side of the equation. 30 + -30 + -7x = 19 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 19 + -30 -7x = 19 + -30 Combine like terms: 19 + -30 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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