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Simplifying 53(-2x) + 53(-4) = 4(x) + 4(7) + x Remove parenthesis around (-2x) 53 * -2x + 53(-4) = 4(x) + 4(7) + x Multiply 53 * -2 -106x + 53(-4) = 4(x) + 4(7) + x Multiply 53 * -4 -106x + -212 = 4(x) + 4(7) + x Reorder the terms: -212 + -106x = 4(x) + 4(7) + x Multiply 4 * 7 -212 + -106x = 4x + 28 + x Reorder the terms: -212 + -106x = 28 + 4x + x Combine like terms: 4x + x = 5x -212 + -106x = 28 + 5x Solving -212 + -106x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -212 + -106x + -5x = 28 + 5x + -5x Combine like terms: -106x + -5x = -111x -212 + -111x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -212 + -111x = 28 + 0 -212 + -111x = 28 Add '212' to each side of the equation. -212 + 212 + -111x = 28 + 212 Combine like terms: -212 + 212 = 0 0 + -111x = 28 + 212 -111x = 28 + 212 Combine like terms: 28 + 212 = 240 -111x = 240 Divide each side by '-111'. x = -2.162162162 Simplifying x = -2.162162162
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