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Simplifying 2x + -3(4x + 15) + -10 = 10x + 3 + -4x Reorder the terms: 2x + -3(15 + 4x) + -10 = 10x + 3 + -4x 2x + (15 * -3 + 4x * -3) + -10 = 10x + 3 + -4x 2x + (-45 + -12x) + -10 = 10x + 3 + -4x Reorder the terms: -45 + -10 + 2x + -12x = 10x + 3 + -4x Combine like terms: -45 + -10 = -55 -55 + 2x + -12x = 10x + 3 + -4x Combine like terms: 2x + -12x = -10x -55 + -10x = 10x + 3 + -4x Reorder the terms: -55 + -10x = 3 + 10x + -4x Combine like terms: 10x + -4x = 6x -55 + -10x = 3 + 6x Solving -55 + -10x = 3 + 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. -55 + -10x + -6x = 3 + 6x + -6x Combine like terms: -10x + -6x = -16x -55 + -16x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -55 + -16x = 3 + 0 -55 + -16x = 3 Add '55' to each side of the equation. -55 + 55 + -16x = 3 + 55 Combine like terms: -55 + 55 = 0 0 + -16x = 3 + 55 -16x = 3 + 55 Combine like terms: 3 + 55 = 58 -16x = 58 Divide each side by '-16'. x = -3.625 Simplifying x = -3.625
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