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Simplifying 5(x + -10) + -3 = 6x + -46 Reorder the terms: 5(-10 + x) + -3 = 6x + -46 (-10 * 5 + x * 5) + -3 = 6x + -46 (-50 + 5x) + -3 = 6x + -46 Reorder the terms: -50 + -3 + 5x = 6x + -46 Combine like terms: -50 + -3 = -53 -53 + 5x = 6x + -46 Reorder the terms: -53 + 5x = -46 + 6x Solving -53 + 5x = -46 + 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. -53 + 5x + -6x = -46 + 6x + -6x Combine like terms: 5x + -6x = -1x -53 + -1x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + -1x = -46 + 0 -53 + -1x = -46 Add '53' to each side of the equation. -53 + 53 + -1x = -46 + 53 Combine like terms: -53 + 53 = 0 0 + -1x = -46 + 53 -1x = -46 + 53 Combine like terms: -46 + 53 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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