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Simplifying 93 + 6x + 19 + -13x = 54 + -4x + 10x + -7 Reorder the terms: 93 + 19 + 6x + -13x = 54 + -4x + 10x + -7 Combine like terms: 93 + 19 = 112 112 + 6x + -13x = 54 + -4x + 10x + -7 Combine like terms: 6x + -13x = -7x 112 + -7x = 54 + -4x + 10x + -7 Reorder the terms: 112 + -7x = 54 + -7 + -4x + 10x Combine like terms: 54 + -7 = 47 112 + -7x = 47 + -4x + 10x Combine like terms: -4x + 10x = 6x 112 + -7x = 47 + 6x Solving 112 + -7x = 47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 112 + -7x + -6x = 47 + 6x + -6x Combine like terms: -7x + -6x = -13x 112 + -13x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 112 + -13x = 47 + 0 112 + -13x = 47 Add '-112' to each side of the equation. 112 + -112 + -13x = 47 + -112 Combine like terms: 112 + -112 = 0 0 + -13x = 47 + -112 -13x = 47 + -112 Combine like terms: 47 + -112 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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