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Simplifying 6(x + -3) + 5(2x + -7) = 2(3x + 2) Reorder the terms: 6(-3 + x) + 5(2x + -7) = 2(3x + 2) (-3 * 6 + x * 6) + 5(2x + -7) = 2(3x + 2) (-18 + 6x) + 5(2x + -7) = 2(3x + 2) Reorder the terms: -18 + 6x + 5(-7 + 2x) = 2(3x + 2) -18 + 6x + (-7 * 5 + 2x * 5) = 2(3x + 2) -18 + 6x + (-35 + 10x) = 2(3x + 2) Reorder the terms: -18 + -35 + 6x + 10x = 2(3x + 2) Combine like terms: -18 + -35 = -53 -53 + 6x + 10x = 2(3x + 2) Combine like terms: 6x + 10x = 16x -53 + 16x = 2(3x + 2) Reorder the terms: -53 + 16x = 2(2 + 3x) -53 + 16x = (2 * 2 + 3x * 2) -53 + 16x = (4 + 6x) Solving -53 + 16x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -53 + 16x + -6x = 4 + 6x + -6x Combine like terms: 16x + -6x = 10x -53 + 10x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + 10x = 4 + 0 -53 + 10x = 4 Add '53' to each side of the equation. -53 + 53 + 10x = 4 + 53 Combine like terms: -53 + 53 = 0 0 + 10x = 4 + 53 10x = 4 + 53 Combine like terms: 4 + 53 = 57 10x = 57 Divide each side by '10'. x = 5.7 Simplifying x = 5.7
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