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Simplifying 8(6x + -2) + -7 = -4x + 29 Reorder the terms: 8(-2 + 6x) + -7 = -4x + 29 (-2 * 8 + 6x * 8) + -7 = -4x + 29 (-16 + 48x) + -7 = -4x + 29 Reorder the terms: -16 + -7 + 48x = -4x + 29 Combine like terms: -16 + -7 = -23 -23 + 48x = -4x + 29 Reorder the terms: -23 + 48x = 29 + -4x Solving -23 + 48x = 29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -23 + 48x + 4x = 29 + -4x + 4x Combine like terms: 48x + 4x = 52x -23 + 52x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -23 + 52x = 29 + 0 -23 + 52x = 29 Add '23' to each side of the equation. -23 + 23 + 52x = 29 + 23 Combine like terms: -23 + 23 = 0 0 + 52x = 29 + 23 52x = 29 + 23 Combine like terms: 29 + 23 = 52 52x = 52 Divide each side by '52'. x = 1 Simplifying x = 1
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