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Simplifying 5x + 3(2x + -7) + -3x = 10x + -47 Reorder the terms: 5x + 3(-7 + 2x) + -3x = 10x + -47 5x + (-7 * 3 + 2x * 3) + -3x = 10x + -47 5x + (-21 + 6x) + -3x = 10x + -47 Reorder the terms: -21 + 5x + 6x + -3x = 10x + -47 Combine like terms: 5x + 6x = 11x -21 + 11x + -3x = 10x + -47 Combine like terms: 11x + -3x = 8x -21 + 8x = 10x + -47 Reorder the terms: -21 + 8x = -47 + 10x Solving -21 + 8x = -47 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 8x + -10x = -47 + 10x + -10x Combine like terms: 8x + -10x = -2x -21 + -2x = -47 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + -2x = -47 + 0 -21 + -2x = -47 Add '21' to each side of the equation. -21 + 21 + -2x = -47 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = -47 + 21 -2x = -47 + 21 Combine like terms: -47 + 21 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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