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Simplifying 5(x + -3) + -2(3x + 1) = 4(x + 1) + -51 Reorder the terms: 5(-3 + x) + -2(3x + 1) = 4(x + 1) + -51 (-3 * 5 + x * 5) + -2(3x + 1) = 4(x + 1) + -51 (-15 + 5x) + -2(3x + 1) = 4(x + 1) + -51 Reorder the terms: -15 + 5x + -2(1 + 3x) = 4(x + 1) + -51 -15 + 5x + (1 * -2 + 3x * -2) = 4(x + 1) + -51 -15 + 5x + (-2 + -6x) = 4(x + 1) + -51 Reorder the terms: -15 + -2 + 5x + -6x = 4(x + 1) + -51 Combine like terms: -15 + -2 = -17 -17 + 5x + -6x = 4(x + 1) + -51 Combine like terms: 5x + -6x = -1x -17 + -1x = 4(x + 1) + -51 Reorder the terms: -17 + -1x = 4(1 + x) + -51 -17 + -1x = (1 * 4 + x * 4) + -51 -17 + -1x = (4 + 4x) + -51 Reorder the terms: -17 + -1x = 4 + -51 + 4x Combine like terms: 4 + -51 = -47 -17 + -1x = -47 + 4x Solving -17 + -1x = -47 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + -1x + -4x = -47 + 4x + -4x Combine like terms: -1x + -4x = -5x -17 + -5x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -5x = -47 + 0 -17 + -5x = -47 Add '17' to each side of the equation. -17 + 17 + -5x = -47 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = -47 + 17 -5x = -47 + 17 Combine like terms: -47 + 17 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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