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Simplifying x + 3 + -1(6 + -15x) = 12(6x + -4) + -3x + 4 x + 3 + (6 * -1 + -15x * -1) = 12(6x + -4) + -3x + 4 x + 3 + (-6 + 15x) = 12(6x + -4) + -3x + 4 Reorder the terms: 3 + -6 + x + 15x = 12(6x + -4) + -3x + 4 Combine like terms: 3 + -6 = -3 -3 + x + 15x = 12(6x + -4) + -3x + 4 Combine like terms: x + 15x = 16x -3 + 16x = 12(6x + -4) + -3x + 4 Reorder the terms: -3 + 16x = 12(-4 + 6x) + -3x + 4 -3 + 16x = (-4 * 12 + 6x * 12) + -3x + 4 -3 + 16x = (-48 + 72x) + -3x + 4 Reorder the terms: -3 + 16x = -48 + 4 + 72x + -3x Combine like terms: -48 + 4 = -44 -3 + 16x = -44 + 72x + -3x Combine like terms: 72x + -3x = 69x -3 + 16x = -44 + 69x Solving -3 + 16x = -44 + 69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69x' to each side of the equation. -3 + 16x + -69x = -44 + 69x + -69x Combine like terms: 16x + -69x = -53x -3 + -53x = -44 + 69x + -69x Combine like terms: 69x + -69x = 0 -3 + -53x = -44 + 0 -3 + -53x = -44 Add '3' to each side of the equation. -3 + 3 + -53x = -44 + 3 Combine like terms: -3 + 3 = 0 0 + -53x = -44 + 3 -53x = -44 + 3 Combine like terms: -44 + 3 = -41 -53x = -41 Divide each side by '-53'. x = 0.7735849057 Simplifying x = 0.7735849057
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