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Simplifying 6x + 5 = 10(x + -7) + -3 Reorder the terms: 5 + 6x = 10(x + -7) + -3 Reorder the terms: 5 + 6x = 10(-7 + x) + -3 5 + 6x = (-7 * 10 + x * 10) + -3 5 + 6x = (-70 + 10x) + -3 Reorder the terms: 5 + 6x = -70 + -3 + 10x Combine like terms: -70 + -3 = -73 5 + 6x = -73 + 10x Solving 5 + 6x = -73 + 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. 5 + 6x + -10x = -73 + 10x + -10x Combine like terms: 6x + -10x = -4x 5 + -4x = -73 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -4x = -73 + 0 5 + -4x = -73 Add '-5' to each side of the equation. 5 + -5 + -4x = -73 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -73 + -5 -4x = -73 + -5 Combine like terms: -73 + -5 = -78 -4x = -78 Divide each side by '-4'. x = 19.5 Simplifying x = 19.5
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