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Simplifying 7(2x + -3) = 4(4x + 8) Reorder the terms: 7(-3 + 2x) = 4(4x + 8) (-3 * 7 + 2x * 7) = 4(4x + 8) (-21 + 14x) = 4(4x + 8) Reorder the terms: -21 + 14x = 4(8 + 4x) -21 + 14x = (8 * 4 + 4x * 4) -21 + 14x = (32 + 16x) Solving -21 + 14x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -21 + 14x + -16x = 32 + 16x + -16x Combine like terms: 14x + -16x = -2x -21 + -2x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -2x = 32 + 0 -21 + -2x = 32 Add '21' to each side of the equation. -21 + 21 + -2x = 32 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 32 + 21 -2x = 32 + 21 Combine like terms: 32 + 21 = 53 -2x = 53 Divide each side by '-2'. x = -26.5 Simplifying x = -26.5
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