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Simplifying -7(x + 3) + 3x + 5 = 6x + 10 Reorder the terms: -7(3 + x) + 3x + 5 = 6x + 10 (3 * -7 + x * -7) + 3x + 5 = 6x + 10 (-21 + -7x) + 3x + 5 = 6x + 10 Reorder the terms: -21 + 5 + -7x + 3x = 6x + 10 Combine like terms: -21 + 5 = -16 -16 + -7x + 3x = 6x + 10 Combine like terms: -7x + 3x = -4x -16 + -4x = 6x + 10 Reorder the terms: -16 + -4x = 10 + 6x Solving -16 + -4x = 10 + 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. -16 + -4x + -6x = 10 + 6x + -6x Combine like terms: -4x + -6x = -10x -16 + -10x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -10x = 10 + 0 -16 + -10x = 10 Add '16' to each side of the equation. -16 + 16 + -10x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 10 + 16 -10x = 10 + 16 Combine like terms: 10 + 16 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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