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Simplifying 6x + 5 + -4(5x + 1) = 3x + 56 + -1(x + 4) Reorder the terms: 6x + 5 + -4(1 + 5x) = 3x + 56 + -1(x + 4) 6x + 5 + (1 * -4 + 5x * -4) = 3x + 56 + -1(x + 4) 6x + 5 + (-4 + -20x) = 3x + 56 + -1(x + 4) Reorder the terms: 5 + -4 + 6x + -20x = 3x + 56 + -1(x + 4) Combine like terms: 5 + -4 = 1 1 + 6x + -20x = 3x + 56 + -1(x + 4) Combine like terms: 6x + -20x = -14x 1 + -14x = 3x + 56 + -1(x + 4) Reorder the terms: 1 + -14x = 3x + 56 + -1(4 + x) 1 + -14x = 3x + 56 + (4 * -1 + x * -1) 1 + -14x = 3x + 56 + (-4 + -1x) Reorder the terms: 1 + -14x = 56 + -4 + 3x + -1x Combine like terms: 56 + -4 = 52 1 + -14x = 52 + 3x + -1x Combine like terms: 3x + -1x = 2x 1 + -14x = 52 + 2x Solving 1 + -14x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -14x + -2x = 52 + 2x + -2x Combine like terms: -14x + -2x = -16x 1 + -16x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -16x = 52 + 0 1 + -16x = 52 Add '-1' to each side of the equation. 1 + -1 + -16x = 52 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = 52 + -1 -16x = 52 + -1 Combine like terms: 52 + -1 = 51 -16x = 51 Divide each side by '-16'. x = -3.1875 Simplifying x = -3.1875
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